find the value of 6m + 2m + 3m = 6m + 2m + 3m + n solve this question step by step
Answers
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((((6•(m4))-(3•(m2)))+m)-(((2•(m3))+5m2)+4m))+(m2-m)
STEP
2
:
Equation at the end of step
2
:
((((6•(m4))-(3•(m2)))+m)-((2m3+5m2)+4m))+(m2-m)
STEP
3
:
Equation at the end of step
3
:
((((6•(m4))-3m2)+m)-(2m3+5m2+4m))+(m2-m)
STEP
4
:
Equation at the end of step
4
:
((((2•3m4) - 3m2) + m) - (2m3 + 5m2 + 4m)) + (m2 - m)
STEP
5
:
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
6m4 - 2m3 - 7m2 - 4m =
m • (6m3 - 2m2 - 7m - 4)
Checking for a perfect cube :
6.2 6m3 - 2m2 - 7m - 4 is not a perfect cube
Trying to factor by pulling out :
6.3 Factoring: 6m3 - 2m2 - 7m - 4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7m - 4
Group 2: 6m3 - 2m2
Pull out from each group separately :
Group 1: (7m + 4) • (-1)
Group 2: (3m - 1) • (2m2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
6.4 Find roots (zeroes) of : F(m) = 6m3 - 2m2 - 7m - 4
Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0
Answer:
Simplifying
3(m + -2) + -5 = 8 + -2(m + -4)
Reorder the terms:
3(-2 + m) + -5 = 8 + -2(m + -4)
(-2 * 3 + m * 3) + -5 = 8 + -2(m + -4)
(-6 + 3m) + -5 = 8 + -2(m + -4)
Reorder the terms:
-6 + -5 + 3m = 8 + -2(m + -4)
Combine like terms: -6 + -5 = -11
-11 + 3m = 8 + -2(m + -4)
Reorder the terms:
-11 + 3m = 8 + -2(-4 + m)
-11 + 3m = 8 + (-4 * -2 + m * -2)
-11 + 3m = 8 + (8 + -2m)
Combine like terms: 8 + 8 = 16
-11 + 3m = 16 + -2m
Solving
-11 + 3m = 16 + -2m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '2m' to each side of the equation.
-11 + 3m + 2m = 16 + -2m + 2m
Combine like terms: 3m + 2m = 5m
-11 + 5m = 16 + -2m + 2m
Combine like terms: -2m + 2m = 0
-11 + 5m = 16 + 0
-11 + 5m = 16
Add '11' to each side of the equation.
-11 + 11 + 5m = 16 + 11
Combine like terms: -11 + 11 = 0
0 + 5m = 16 + 11
5m = 16 + 11
Combine like terms: 16 + 11 = 27
5m = 27
Divide each side by '5'.
m = 5.4
Simplifying
m = 5.4