(x-3)(3x+9)(x-8)(x+9)=(x-8)(x+9)

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Solution for (x-3)(3x+9)(x-8)(x+9)=(x-8)(x+9) equation: 


Simplifying
(x + -3)(3x + 9)(x + -8)(x + 9) = (x + -8)(x + 9)

Reorder the terms:
(-3 + x)(3x + 9)(x + -8)(x + 9) = (x + -8)(x + 9)

Reorder the terms:
(-3 + x)(9 + 3x)(x + -8)(x + 9) = (x + -8)(x + 9)

Reorder the terms:
(-3 + x)(9 + 3x)(-8 + x)(x + 9) = (x + -8)(x + 9)

Reorder the terms:
(-3 + x)(9 + 3x)(-8 + x)(9 + x) = (x + -8)(x + 9)

Multiply (-3 + x) * (9 + 3x)
(-3(9 + 3x) + x(9 + 3x))(-8 + x)(9 + x) = (x + -8)(x + 9)
((9 * -3 + 3x * -3) + x(9 + 3x))(-8 + x)(9 + x) = (x + -8)(x + 9)
((-27 + -9x) + x(9 + 3x))(-8 + x)(9 + x) = (x + -8)(x + 9)
(-27 + -9x + (9 * x + 3x * x))(-8 + x)(9 + x) = (x + -8)(x + 9)
(-27 + -9x + (9x + 3x2))(-8 + x)(9 + x) = (x + -8)(x + 9)

Combine like terms: -9x + 9x = 0
(-27 + 0 + 3x2)(-8 + x)(9 + x) = (x + -8)(x + 9)
(-27 + 3x2)(-8 + x)(9 + x) = (x + -8)(x + 9)

Multiply (-27 + 3x2) * (-8 + x)
(-27(-8 + x) + 3x2 * (-8 + x))(9 + x) = (x + -8)(x + 9)
((-8 * -27 + x * -27) + 3x2 * (-8 + x))(9 + x) = (x + -8)(x + 9)
((216 + -27x) + 3x2 * (-8 + x))(9 + x) = (x + -8)(x + 9)
(216 + -27x + (-8 * 3x2 + x * 3x2))(9 + x) = (x + -8)(x + 9)
(216 + -27x + (-24x2 + 3x3))(9 + x) = (x + -8)(x + 9)
(216 + -27x + -24x2 + 3x3)(9 + x) = (x + -8)(x + 9)

Multiply (216 + -27x + -24x2 + 3x3) * (9 + x)
(216(9 + x) + -27x * (9 + x) + -24x2 * (9 + x) + 3x3 * (9 + x)) = (x + -8)(x + 9)
((9 * 216 + x * 216) + -27x * (9 + x) + -24x2 * (9 + x) + 3x3 * (9 + x)) = (x + -8)(x + 9)
((1944 + 216x) + -27x * (9 + x) + -24x2 * (9 + x) + 3x3 * (9 + x)) = (x + -8)(x + 9)
(1944 + 216x + (9 * -27x + x * -27x) + -24x2 * (9 + x) + 3x3 * (9 + x)) = (x + -8)(x + 9)
(1944 + 216x + (-243x + -27x2) + -24x2 * (9 + x) + 3x3 * (9 + x)) = (x + -8)(x + 9)
(1944 + 216x + -243x + -27x2 + (9 * -24x2 + x * -24x2) + 3x3 * (9 + x)) = (x + -8)(x + 9)
(1944 + 216x + -243x + -27x2 + (-216x2 + -24x3) + 3x3 * (9 + x)) = (x + -8)(x + 9)
(1944 + 216x + -243x + -27x2 + -216x2 + -24x3 + (9 * 3x3 + x * 3x3)) = (x + -8)(x + 9)
(1944 + 216x + -243x + -27x2 + -216x2 + -24x3 + (27x3 + 3x4)) = (x + -8)(x + 9)

Combine like terms: 216x + -243x = -27x
(1944 + -27x + -27x2 + -216x2 + -24x3 + 27x3 + 3x4) = (x + -8)(x + 9)

Combine like terms: -27x2 + -216x2 = -243x2
(1944 + -27x + -243x2 + -24x3 + 27x3 + 3x4) = (x + -8)(x + 9)

Combine like terms: -24x3 + 27x3 = 3x3
(1944 + -27x + -243x2 + 3x3 + 3x4) = (x + -8)(x + 9)

Reorder the terms:
1944 + -27x + -243x2 + 3x3 + 3x4 = (-8 + x)(x + 9)

Reorder the terms:
1944 + -27x + -243x2 + 3x3 + 3x4 = (-8 + x)(9 + x)

Multiply (-8 + x) * (9 + x)
1944 + -27x + -243x2 + 3x3 + 3x4 = (-8(9 + x) + x(9 + x))
1944 + -27x + -243x2 + 3x3 + 3x4 = ((9 * -8 + x * -8) + x(9 + x))
1944 + -27x + -243x2 + 3x3 + 3x4 = ((-72 + -8x) + x(9 + x))
1944 + -27x + -243x2 + 3x3 + 3x4 = (-72 + -8x + (9 * x + x * x))
1944 + -27x + -243x2 + 3x3 + 3x4 = (-72 + -8x + (9x + x2))

Combine like terms: -8x + 9x = 1x
1944 + -27x + -243x2 + 3x3 + 3x4 = (-72 + 1x + x2)

Solving
1944 + -27x + -243x2 + 3x3 + 3x4 = -72 + 1x + x2

Solving for variable 'x'.

Reorder the terms:
1944 + 72 + -27x + -1x + -243x2 + -1x2 + 3x3 + 3x4 = -72 + 1x + x2 + 72 + -1x + -1x2

Combine like terms: 1944 + 72 = 2016
2016 + -27x + -1x + -243x2 + -1x2 + 3x3 + 3x4 = -72 + 1x + x2 + 72 + -1x + -1x2

Combine like terms: -27x + -1x = -28x
2016 + -28x + -243x2 + -1x2 + 3x3 + 3x4 = -72 + 1x + x2 + 72 + -1x + -1x2

Combine like terms: -243x2 + -1x2 = -244x2
2016 + -28x + -244x2 + 3x3 + 3x4 = -72 + 1x + x2 + 72 + -1x + -1x2

Reorder the terms:
2016 + -28x + -244x2 + 3x3 + 3x4 = -72 + 72 + 1x + -1x + x2 + -1x2

Combine like terms: -72 + 72 = 0
2016 + -28x + -244x2 + 3x3 + 3x4 = 0 + 1x + -1x + x2 + -1x2
2016 + -28x + -244x2 + 3x3 + 3x4 = 1x + -1x + x2 + -1x2

Combine like terms: 1x + -1x = 0
2016 + -28x + -244x2 + 3x3 + 3x4 = 0 + x2 + -1x2
2016 + -28x + -244x2 + 3x3 + 3x4 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2016 + -28x + -244x2 + 3x3 + 3x4 = 0

The solution to this equation could not be determined.

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