(x+7)(x+4)(x-8)=8

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Solution for (x+7)(x+4)(x-8)=8 equation: 


Simplifying
(x + 7)(x + 4)(x + -8) = 8

Reorder the terms:
(7 + x)(x + 4)(x + -8) = 8

Reorder the terms:
(7 + x)(4 + x)(x + -8) = 8

Reorder the terms:
(7 + x)(4 + x)(-8 + x) = 8

Multiply (7 + x) * (4 + x)
(7(4 + x) + x(4 + x))(-8 + x) = 8
((4 * 7 + x * 7) + x(4 + x))(-8 + x) = 8
((28 + 7x) + x(4 + x))(-8 + x) = 8
(28 + 7x + (4 * x + x * x))(-8 + x) = 8
(28 + 7x + (4x + x2))(-8 + x) = 8

Combine like terms: 7x + 4x = 11x
(28 + 11x + x2)(-8 + x) = 8

Multiply (28 + 11x + x2) * (-8 + x)
(28(-8 + x) + 11x * (-8 + x) + x2(-8 + x)) = 8
((-8 * 28 + x * 28) + 11x * (-8 + x) + x2(-8 + x)) = 8
((-224 + 28x) + 11x * (-8 + x) + x2(-8 + x)) = 8
(-224 + 28x + (-8 * 11x + x * 11x) + x2(-8 + x)) = 8
(-224 + 28x + (-88x + 11x2) + x2(-8 + x)) = 8
(-224 + 28x + -88x + 11x2 + (-8 * x2 + x * x2)) = 8
(-224 + 28x + -88x + 11x2 + (-8x2 + x3)) = 8

Combine like terms: 28x + -88x = -60x
(-224 + -60x + 11x2 + -8x2 + x3) = 8

Combine like terms: 11x2 + -8x2 = 3x2
(-224 + -60x + 3x2 + x3) = 8

Solving
-224 + -60x + 3x2 + x3 = 8

Solving for variable 'x'.

Reorder the terms:
-224 + -8 + -60x + 3x2 + x3 = 8 + -8

Combine like terms: -224 + -8 = -232
-232 + -60x + 3x2 + x3 = 8 + -8

Combine like terms: 8 + -8 = 0
-232 + -60x + 3x2 + x3 = 0

The solution to this equation could not be determined.

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