(4x+2)(3x-4)=

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Solution for (4x+2)(3x-4)= equation: 


Simplifying
(4x + 2)(3x + -4) = 0

Reorder the terms:
(2 + 4x)(3x + -4) = 0

Reorder the terms:
(2 + 4x)(-4 + 3x) = 0

Multiply (2 + 4x) * (-4 + 3x)
(2(-4 + 3x) + 4x * (-4 + 3x)) = 0
((-4 * 2 + 3x * 2) + 4x * (-4 + 3x)) = 0
((-8 + 6x) + 4x * (-4 + 3x)) = 0
(-8 + 6x + (-4 * 4x + 3x * 4x)) = 0
(-8 + 6x + (-16x + 12x2)) = 0

Combine like terms: 6x + -16x = -10x
(-8 + -10x + 12x2) = 0

Solving
-8 + -10x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -5x + 6x2) = 0

Factor a trinomial.
2((-1 + -2x)(4 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve:

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.5, 1.333333333}

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