(3x+7)(4x-2)(-6)=

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Solution for (3x+7)(4x-2)(-6)= equation: 


Simplifying
(3x + 7)(4x + -2)(-6) = 0

Reorder the terms:
(7 + 3x)(4x + -2)(-6) = 0

Reorder the terms:
(7 + 3x)(-2 + 4x)(-6) = 0

Reorder the terms for easier multiplication:
-6(7 + 3x)(-2 + 4x) = 0

Multiply (7 + 3x) * (-2 + 4x)
-6(7(-2 + 4x) + 3x * (-2 + 4x)) = 0
-6((-2 * 7 + 4x * 7) + 3x * (-2 + 4x)) = 0
-6((-14 + 28x) + 3x * (-2 + 4x)) = 0
-6(-14 + 28x + (-2 * 3x + 4x * 3x)) = 0
-6(-14 + 28x + (-6x + 12x2)) = 0

Combine like terms: 28x + -6x = 22x
-6(-14 + 22x + 12x2) = 0
(-14 * -6 + 22x * -6 + 12x2 * -6) = 0
(84 + -132x + -72x2) = 0

Solving
84 + -132x + -72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(7 + -11x + -6x2) = 0

Factor a trinomial.
12((1 + -2x)(7 + 3x)) = 0

Ignore the factor 12.

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 '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {0.5, -2.333333333}

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