4+2p= 10 (3/5p-2)
P=
Answers
Answer:
p = 6
Step-by-step explanation:
4+2*p-(10*(3/5*p-2))=0
Step by step solution :
STEP
1
:
3
Simplify —
5
Equation at the end of step
1
:
3
(2p + 4) - (10 • ((— • p) - 2)) = 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 2 • 5
2 = — = —————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3p - (2 • 5) 3p - 10
———————————— = ———————
5 5
Equation at the end of step
2
:
(3p - 10)
(2p + 4) - (10 • —————————) = 0
5
STEP
3
:
Equation at the end of step 3
(2p + 4) - 2 • (3p - 10) = 0
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
24 - 4p = -4 • (p - 6)
Equation at the end of step
5
:
-4 • (p - 6) = 0
STEP
6
:
Equations which are never true
6.1 Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.2 Solve : p-6 = 0
Add 6 to both sides of the equation :
p = 6
One solution was found :
p = 6
Step-by-step explanation:
4+2p= 10 (3/5p-2)
:
3 (2p + 4) - (10 • ((— • p) - 2)) = 0 5
(STEP2:Rewriting the whole as an Equivalent Fraction)
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
2 2 • 5 2 = — = ————— 1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3p - (2 • 5) 3p - 10 ———————————— = ——————— 5 5
Equation at the end of step2:
(3p - 10) (2p + 4) - (10 • —————————) = 0 5
STEP3:Equation at the end of step 3
(2p + 4) - 2 • (3p - 10) = 0
STEP4:
STEP5:Pulling out like terms
5.1 Pull out like factors :
24 - 4p = -4 • (p - 6)
Equation at the end of step5:
-4 • (p - 6) = 0
STEP6:Equations which are never true
6.1 Solve : -4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
6.2 Solve : p-6 = 0
Add 6 to both sides of the equation :
p = 6