(6x-4)(x+2)=

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Solution for (6x-4)(x+2)= equation:


Simplifying
(6x + -4)(x + 2) = 0

Reorder the terms:
(-4 + 6x)(x + 2) = 0

Reorder the terms:
(-4 + 6x)(2 + x) = 0

Multiply (-4 + 6x) * (2 + x)
(-4(2 + x) + 6x * (2 + x)) = 0
((2 * -4 + x * -4) + 6x * (2 + x)) = 0
((-8 + -4x) + 6x * (2 + x)) = 0
(-8 + -4x + (2 * 6x + x * 6x)) = 0
(-8 + -4x + (12x + 6x2)) = 0

Combine like terms: -4x + 12x = 8x
(-8 + 8x + 6x2) = 0

Solving
-8 + 8x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4x + 3x2) = 0

Factor a trinomial.
2((-2 + -1x)(2 + -3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-2, 0.6666666667}

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