10(x+3)(x-2)=(x-8)(x+3)(x-2)

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Solution for 10(x+3)(x-2)=(x-8)(x+3)(x-2) equation: 


Simplifying
10(x + 3)(x + -2) = (x + -8)(x + 3)(x + -2)

Reorder the terms:
10(3 + x)(x + -2) = (x + -8)(x + 3)(x + -2)

Reorder the terms:
10(3 + x)(-2 + x) = (x + -8)(x + 3)(x + -2)

Multiply (3 + x) * (-2 + x)
10(3(-2 + x) + x(-2 + x)) = (x + -8)(x + 3)(x + -2)
10((-2 * 3 + x * 3) + x(-2 + x)) = (x + -8)(x + 3)(x + -2)
10((-6 + 3x) + x(-2 + x)) = (x + -8)(x + 3)(x + -2)
10(-6 + 3x + (-2 * x + x * x)) = (x + -8)(x + 3)(x + -2)
10(-6 + 3x + (-2x + x2)) = (x + -8)(x + 3)(x + -2)

Combine like terms: 3x + -2x = 1x
10(-6 + 1x + x2) = (x + -8)(x + 3)(x + -2)
(-6 * 10 + 1x * 10 + x2 * 10) = (x + -8)(x + 3)(x + -2)
(-60 + 10x + 10x2) = (x + -8)(x + 3)(x + -2)

Reorder the terms:
-60 + 10x + 10x2 = (-8 + x)(x + 3)(x + -2)

Reorder the terms:
-60 + 10x + 10x2 = (-8 + x)(3 + x)(x + -2)

Reorder the terms:
-60 + 10x + 10x2 = (-8 + x)(3 + x)(-2 + x)

Multiply (-8 + x) * (3 + x)
-60 + 10x + 10x2 = (-8(3 + x) + x(3 + x))(-2 + x)
-60 + 10x + 10x2 = ((3 * -8 + x * -8) + x(3 + x))(-2 + x)
-60 + 10x + 10x2 = ((-24 + -8x) + x(3 + x))(-2 + x)
-60 + 10x + 10x2 = (-24 + -8x + (3 * x + x * x))(-2 + x)
-60 + 10x + 10x2 = (-24 + -8x + (3x + x2))(-2 + x)

Combine like terms: -8x + 3x = -5x
-60 + 10x + 10x2 = (-24 + -5x + x2)(-2 + x)

Multiply (-24 + -5x + x2) * (-2 + x)
-60 + 10x + 10x2 = (-24(-2 + x) + -5x * (-2 + x) + x2(-2 + x))
-60 + 10x + 10x2 = ((-2 * -24 + x * -24) + -5x * (-2 + x) + x2(-2 + x))
-60 + 10x + 10x2 = ((48 + -24x) + -5x * (-2 + x) + x2(-2 + x))
-60 + 10x + 10x2 = (48 + -24x + (-2 * -5x + x * -5x) + x2(-2 + x))
-60 + 10x + 10x2 = (48 + -24x + (10x + -5x2) + x2(-2 + x))
-60 + 10x + 10x2 = (48 + -24x + 10x + -5x2 + (-2 * x2 + x * x2))
-60 + 10x + 10x2 = (48 + -24x + 10x + -5x2 + (-2x2 + x3))

Combine like terms: -24x + 10x = -14x
-60 + 10x + 10x2 = (48 + -14x + -5x2 + -2x2 + x3)

Combine like terms: -5x2 + -2x2 = -7x2
-60 + 10x + 10x2 = (48 + -14x + -7x2 + x3)

Solving
-60 + 10x + 10x2 = 48 + -14x + -7x2 + x3

Solving for variable 'x'.

Reorder the terms:
-60 + -48 + 10x + 14x + 10x2 + 7x2 + -1x3 = 48 + -14x + -7x2 + x3 + -48 + 14x + 7x2 + -1x3

Combine like terms: -60 + -48 = -108
-108 + 10x + 14x + 10x2 + 7x2 + -1x3 = 48 + -14x + -7x2 + x3 + -48 + 14x + 7x2 + -1x3

Combine like terms: 10x + 14x = 24x
-108 + 24x + 10x2 + 7x2 + -1x3 = 48 + -14x + -7x2 + x3 + -48 + 14x + 7x2 + -1x3

Combine like terms: 10x2 + 7x2 = 17x2
-108 + 24x + 17x2 + -1x3 = 48 + -14x + -7x2 + x3 + -48 + 14x + 7x2 + -1x3

Reorder the terms:
-108 + 24x + 17x2 + -1x3 = 48 + -48 + -14x + 14x + -7x2 + 7x2 + x3 + -1x3

Combine like terms: 48 + -48 = 0
-108 + 24x + 17x2 + -1x3 = 0 + -14x + 14x + -7x2 + 7x2 + x3 + -1x3
-108 + 24x + 17x2 + -1x3 = -14x + 14x + -7x2 + 7x2 + x3 + -1x3

Combine like terms: -14x + 14x = 0
-108 + 24x + 17x2 + -1x3 = 0 + -7x2 + 7x2 + x3 + -1x3
-108 + 24x + 17x2 + -1x3 = -7x2 + 7x2 + x3 + -1x3

Combine like terms: -7x2 + 7x2 = 0
-108 + 24x + 17x2 + -1x3 = 0 + x3 + -1x3
-108 + 24x + 17x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-108 + 24x + 17x2 + -1x3 = 0

The solution to this equation could not be determined.

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