468=(x+8+9)*(x+9)-(x+8)*(x+8)*(x)

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Solution for 468=(x+8+9)*(x+9)-(x+8)*(x+8)*(x) equation: 


Simplifying
468 = (x + 8 + 9)(x + 9) + -1(x + 8)(x + 8)(x)

Reorder the terms:
468 = (8 + 9 + x)(x + 9) + -1(x + 8)(x + 8)(x)

Combine like terms: 8 + 9 = 17
468 = (17 + x)(x + 9) + -1(x + 8)(x + 8)(x)

Reorder the terms:
468 = (17 + x)(9 + x) + -1(x + 8)(x + 8)(x)

Multiply (17 + x) * (9 + x)
468 = (17(9 + x) + x(9 + x)) + -1(x + 8)(x + 8)(x)
468 = ((9 * 17 + x * 17) + x(9 + x)) + -1(x + 8)(x + 8)(x)
468 = ((153 + 17x) + x(9 + x)) + -1(x + 8)(x + 8)(x)
468 = (153 + 17x + (9 * x + x * x)) + -1(x + 8)(x + 8)(x)
468 = (153 + 17x + (9x + x2)) + -1(x + 8)(x + 8)(x)

Combine like terms: 17x + 9x = 26x
468 = (153 + 26x + x2) + -1(x + 8)(x + 8)(x)

Reorder the terms:
468 = 153 + 26x + x2 + -1(8 + x)(x + 8)(x)

Reorder the terms:
468 = 153 + 26x + x2 + -1(8 + x)(8 + x)(x)

Reorder the terms for easier multiplication:
468 = 153 + 26x + x2 + -1x(8 + x)(8 + x)

Multiply (8 + x) * (8 + x)
468 = 153 + 26x + x2 + -1x(8(8 + x) + x(8 + x))
468 = 153 + 26x + x2 + -1x((8 * 8 + x * 8) + x(8 + x))
468 = 153 + 26x + x2 + -1x((64 + 8x) + x(8 + x))
468 = 153 + 26x + x2 + -1x(64 + 8x + (8 * x + x * x))
468 = 153 + 26x + x2 + -1x(64 + 8x + (8x + x2))

Combine like terms: 8x + 8x = 16x
468 = 153 + 26x + x2 + -1x(64 + 16x + x2)
468 = 153 + 26x + x2 + (64 * -1x + 16x * -1x + x2 * -1x)
468 = 153 + 26x + x2 + (-64x + -16x2 + -1x3)

Reorder the terms:
468 = 153 + 26x + -64x + x2 + -16x2 + -1x3

Combine like terms: 26x + -64x = -38x
468 = 153 + -38x + x2 + -16x2 + -1x3

Combine like terms: x2 + -16x2 = -15x2
468 = 153 + -38x + -15x2 + -1x3

Solving
468 = 153 + -38x + -15x2 + -1x3

Solving for variable 'x'.

Combine like terms: 468 + -153 = 315
315 + 38x + 15x2 + x3 = 153 + -38x + -15x2 + -1x3 + -153 + 38x + 15x2 + x3

Reorder the terms:
315 + 38x + 15x2 + x3 = 153 + -153 + -38x + 38x + -15x2 + 15x2 + -1x3 + x3

Combine like terms: 153 + -153 = 0
315 + 38x + 15x2 + x3 = 0 + -38x + 38x + -15x2 + 15x2 + -1x3 + x3
315 + 38x + 15x2 + x3 = -38x + 38x + -15x2 + 15x2 + -1x3 + x3

Combine like terms: -38x + 38x = 0
315 + 38x + 15x2 + x3 = 0 + -15x2 + 15x2 + -1x3 + x3
315 + 38x + 15x2 + x3 = -15x2 + 15x2 + -1x3 + x3

Combine like terms: -15x2 + 15x2 = 0
315 + 38x + 15x2 + x3 = 0 + -1x3 + x3
315 + 38x + 15x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
315 + 38x + 15x2 + x3 = 0

The solution to this equation could not be determined.

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