(5x+6)(x+12)-(5x-6)(x+3)=

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Solution for (5x+6)(x+12)-(5x-6)(x+3)= equation: 


Simplifying
(5x + 6)(x + 12) + -1(5x + -6)(x + 3) = 0

Reorder the terms:
(6 + 5x)(x + 12) + -1(5x + -6)(x + 3) = 0

Reorder the terms:
(6 + 5x)(12 + x) + -1(5x + -6)(x + 3) = 0

Multiply (6 + 5x) * (12 + x)
(6(12 + x) + 5x * (12 + x)) + -1(5x + -6)(x + 3) = 0
((12 * 6 + x * 6) + 5x * (12 + x)) + -1(5x + -6)(x + 3) = 0
((72 + 6x) + 5x * (12 + x)) + -1(5x + -6)(x + 3) = 0
(72 + 6x + (12 * 5x + x * 5x)) + -1(5x + -6)(x + 3) = 0
(72 + 6x + (60x + 5x2)) + -1(5x + -6)(x + 3) = 0

Combine like terms: 6x + 60x = 66x
(72 + 66x + 5x2) + -1(5x + -6)(x + 3) = 0

Reorder the terms:
72 + 66x + 5x2 + -1(-6 + 5x)(x + 3) = 0

Reorder the terms:
72 + 66x + 5x2 + -1(-6 + 5x)(3 + x) = 0

Multiply (-6 + 5x) * (3 + x)
72 + 66x + 5x2 + -1(-6(3 + x) + 5x * (3 + x)) = 0
72 + 66x + 5x2 + -1((3 * -6 + x * -6) + 5x * (3 + x)) = 0
72 + 66x + 5x2 + -1((-18 + -6x) + 5x * (3 + x)) = 0
72 + 66x + 5x2 + -1(-18 + -6x + (3 * 5x + x * 5x)) = 0
72 + 66x + 5x2 + -1(-18 + -6x + (15x + 5x2)) = 0

Combine like terms: -6x + 15x = 9x
72 + 66x + 5x2 + -1(-18 + 9x + 5x2) = 0
72 + 66x + 5x2 + (-18 * -1 + 9x * -1 + 5x2 * -1) = 0
72 + 66x + 5x2 + (18 + -9x + -5x2) = 0

Reorder the terms:
72 + 18 + 66x + -9x + 5x2 + -5x2 = 0

Combine like terms: 72 + 18 = 90
90 + 66x + -9x + 5x2 + -5x2 = 0

Combine like terms: 66x + -9x = 57x
90 + 57x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
90 + 57x + 0 = 0
90 + 57x = 0

Solving
90 + 57x = 0

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 57x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + 57x = 0 + -90
57x = 0 + -90

Combine like terms: 0 + -90 = -90
57x = -90

Divide each side by '57'.
x = -1.578947368

Simplifying
x = -1.578947368

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