X-3(1x-1)2=-3(1x-4)(1x+3)

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Solution for X-3(1x-1)2=-3(1x-4)(1x+3) equation: 


Simplifying
X + -3(1x + -1) * 2 = -3(1x + -4)(1x + 3)

Reorder the terms:
X + -3(-1 + 1x) * 2 = -3(1x + -4)(1x + 3)

Reorder the terms for easier multiplication:
X + -3 * 2(-1 + 1x) = -3(1x + -4)(1x + 3)

Multiply -3 * 2
X + -6(-1 + 1x) = -3(1x + -4)(1x + 3)
X + (-1 * -6 + 1x * -6) = -3(1x + -4)(1x + 3)
X + (6 + -6x) = -3(1x + -4)(1x + 3)

Reorder the terms:
6 + X + -6x = -3(1x + -4)(1x + 3)

Reorder the terms:
6 + X + -6x = -3(-4 + 1x)(1x + 3)

Reorder the terms:
6 + X + -6x = -3(-4 + 1x)(3 + 1x)

Multiply (-4 + 1x) * (3 + 1x)
6 + X + -6x = -3(-4(3 + 1x) + 1x * (3 + 1x))
6 + X + -6x = -3((3 * -4 + 1x * -4) + 1x * (3 + 1x))
6 + X + -6x = -3((-12 + -4x) + 1x * (3 + 1x))
6 + X + -6x = -3(-12 + -4x + (3 * 1x + 1x * 1x))
6 + X + -6x = -3(-12 + -4x + (3x + 1x2))

Combine like terms: -4x + 3x = -1x
6 + X + -6x = -3(-12 + -1x + 1x2)
6 + X + -6x = (-12 * -3 + -1x * -3 + 1x2 * -3)
6 + X + -6x = (36 + 3x + -3x2)

Solving
6 + X + -6x = 36 + 3x + -3x2

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + -6 + -6x = 36 + 3x + -6 + -3x2

Reorder the terms:
6 + -6 + X + -6x = 36 + 3x + -6 + -3x2

Combine like terms: 6 + -6 = 0
0 + X + -6x = 36 + 3x + -6 + -3x2
X + -6x = 36 + 3x + -6 + -3x2

Reorder the terms:
X + -6x = 36 + -6 + 3x + -3x2

Combine like terms: 36 + -6 = 30
X + -6x = 30 + 3x + -3x2

Add '6x' to each side of the equation.
X + -6x + 6x = 30 + 3x + 6x + -3x2

Combine like terms: -6x + 6x = 0
X + 0 = 30 + 3x + 6x + -3x2
X = 30 + 3x + 6x + -3x2

Combine like terms: 3x + 6x = 9x
X = 30 + 9x + -3x2

Simplifying
X = 30 + 9x + -3x2

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