(3x-7)(4x-12)=

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Solution for (3x-7)(4x-12)= equation: 


Simplifying
(3x + -7)(4x + -12) = 0

Reorder the terms:
(-7 + 3x)(4x + -12) = 0

Reorder the terms:
(-7 + 3x)(-12 + 4x) = 0

Multiply (-7 + 3x) * (-12 + 4x)
(-7(-12 + 4x) + 3x * (-12 + 4x)) = 0
((-12 * -7 + 4x * -7) + 3x * (-12 + 4x)) = 0
((84 + -28x) + 3x * (-12 + 4x)) = 0
(84 + -28x + (-12 * 3x + 4x * 3x)) = 0
(84 + -28x + (-36x + 12x2)) = 0

Combine like terms: -28x + -36x = -64x
(84 + -64x + 12x2) = 0

Solving
84 + -64x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(21 + -16x + 3x2) = 0

Factor a trinomial.
4((7 + -3x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2.333333333, 3}

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