Solve the following
4x²-2x+12/8x
Answers
Answer:
Solution for 4x^2-2x-12=0 equation:
Simplifying
4x2 + -2x + -12 = 0
Reorder the terms:
-12 + -2x + 4x2 = 0
Solving
-12 + -2x + 4x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1x + 2x2) = 0
Factor a trinomial.
2((-3 + -2x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:
Simplifying
-3 + -2x = 0
Solving
-3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3
Combine like terms: 0 + 3 = 3
-2x = 3
Divide each side by '-2'.
x = -1.5
Simplifying
x = -1.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Solution
x = {-1.5, 2}
Answer:
4x2+2x-12
(split the middle term)
4x2+8x-6x-12
4x(x+2)-6(x+2)
(4x-6)(x+2)ANS
I am not sure if this answer is correct.
I am sorry if it is incorrect, and just ignore this answer...