X+(x+18)((x+18)2-4)+92=382

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Solution for X+(x+18)((x+18)2-4)+92=382 equation:


Simplifying
X + (x + 18)((x + 18) * 2 + -4) + 92 = 382

Reorder the terms:
X + (18 + x)((x + 18) * 2 + -4) + 92 = 382

Reorder the terms:
X + (18 + x)((18 + x) * 2 + -4) + 92 = 382

Reorder the terms for easier multiplication:
X + (18 + x)(2(18 + x) + -4) + 92 = 382
X + (18 + x)((18 * 2 + x * 2) + -4) + 92 = 382
X + (18 + x)((36 + 2x) + -4) + 92 = 382

Reorder the terms:
X + (18 + x)(36 + -4 + 2x) + 92 = 382

Combine like terms: 36 + -4 = 32
X + (18 + x)(32 + 2x) + 92 = 382

Multiply (18 + x) * (32 + 2x)
X + (18(32 + 2x) + x(32 + 2x)) + 92 = 382
X + ((32 * 18 + 2x * 18) + x(32 + 2x)) + 92 = 382
X + ((576 + 36x) + x(32 + 2x)) + 92 = 382
X + (576 + 36x + (32 * x + 2x * x)) + 92 = 382
X + (576 + 36x + (32x + 2x2)) + 92 = 382

Combine like terms: 36x + 32x = 68x
X + (576 + 68x + 2x2) + 92 = 382

Reorder the terms:
576 + 92 + X + 68x + 2x2 = 382

Combine like terms: 576 + 92 = 668
668 + X + 68x + 2x2 = 382

Solving
668 + X + 68x + 2x2 = 382

Solving for variable 'X'.

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

Add '-668' to each side of the equation.
668 + X + 68x + -668 + 2x2 = 382 + -668

Reorder the terms:
668 + -668 + X + 68x + 2x2 = 382 + -668

Combine like terms: 668 + -668 = 0
0 + X + 68x + 2x2 = 382 + -668
X + 68x + 2x2 = 382 + -668

Combine like terms: 382 + -668 = -286
X + 68x + 2x2 = -286

Add '-68x' to each side of the equation.
X + 68x + -68x + 2x2 = -286 + -68x

Combine like terms: 68x + -68x = 0
X + 0 + 2x2 = -286 + -68x
X + 2x2 = -286 + -68x

Add '-2x2' to each side of the equation.
X + 2x2 + -2x2 = -286 + -68x + -2x2

Combine like terms: 2x2 + -2x2 = 0
X + 0 = -286 + -68x + -2x2
X = -286 + -68x + -2x2

Simplifying
X = -286 + -68x + -2x2

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