12(3X+6)-6x(2x-6)=4x-12

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Solution for 12(3X+6)-6x(2x-6)=4x-12 equation:


Simplifying
12(3X + 6) + -6x(2x + -6) = 4x + -12

Reorder the terms:
12(6 + 3X) + -6x(2x + -6) = 4x + -12
(6 * 12 + 3X * 12) + -6x(2x + -6) = 4x + -12
(72 + 36X) + -6x(2x + -6) = 4x + -12

Reorder the terms:
72 + 36X + -6x(-6 + 2x) = 4x + -12
72 + 36X + (-6 * -6x + 2x * -6x) = 4x + -12
72 + 36X + (36x + -12x2) = 4x + -12

Reorder the terms:
72 + 36X + 36x + -12x2 = -12 + 4x

Solving
72 + 36X + 36x + -12x2 = -12 + 4x

Solving for variable 'X'.

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

Add '-72' to each side of the equation.
72 + 36X + 36x + -72 + -12x2 = -12 + -72 + 4x

Reorder the terms:
72 + -72 + 36X + 36x + -12x2 = -12 + -72 + 4x

Combine like terms: 72 + -72 = 0
0 + 36X + 36x + -12x2 = -12 + -72 + 4x
36X + 36x + -12x2 = -12 + -72 + 4x

Combine like terms: -12 + -72 = -84
36X + 36x + -12x2 = -84 + 4x

Add '-36x' to each side of the equation.
36X + 36x + -36x + -12x2 = -84 + 4x + -36x

Combine like terms: 36x + -36x = 0
36X + 0 + -12x2 = -84 + 4x + -36x
36X + -12x2 = -84 + 4x + -36x

Combine like terms: 4x + -36x = -32x
36X + -12x2 = -84 + -32x

Add '12x2' to each side of the equation.
36X + -12x2 + 12x2 = -84 + -32x + 12x2

Combine like terms: -12x2 + 12x2 = 0
36X + 0 = -84 + -32x + 12x2
36X = -84 + -32x + 12x2

Divide each side by '36'.
X = -2.333333333 + -0.8888888889x + 0.3333333333x2

Simplifying
X = -2.333333333 + -0.8888888889x + 0.3333333333x2

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