(x+1)*(x+4)*(x-2)*(x-2)=10*x*x

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Solution for (x+1)*(x+4)*(x-2)*(x-2)=10*x*x equation: 


Simplifying
(x + 1)(x + 4)(x + -2)(x + -2) = 10x * x

Reorder the terms:
(1 + x)(x + 4)(x + -2)(x + -2) = 10x * x

Reorder the terms:
(1 + x)(4 + x)(x + -2)(x + -2) = 10x * x

Reorder the terms:
(1 + x)(4 + x)(-2 + x)(x + -2) = 10x * x

Reorder the terms:
(1 + x)(4 + x)(-2 + x)(-2 + x) = 10x * x

Multiply (1 + x) * (4 + x)
(1(4 + x) + x(4 + x))(-2 + x)(-2 + x) = 10x * x
((4 * 1 + x * 1) + x(4 + x))(-2 + x)(-2 + x) = 10x * x
((4 + 1x) + x(4 + x))(-2 + x)(-2 + x) = 10x * x
(4 + 1x + (4 * x + x * x))(-2 + x)(-2 + x) = 10x * x
(4 + 1x + (4x + x2))(-2 + x)(-2 + x) = 10x * x

Combine like terms: 1x + 4x = 5x
(4 + 5x + x2)(-2 + x)(-2 + x) = 10x * x

Multiply (4 + 5x + x2) * (-2 + x)
(4(-2 + x) + 5x * (-2 + x) + x2(-2 + x))(-2 + x) = 10x * x
((-2 * 4 + x * 4) + 5x * (-2 + x) + x2(-2 + x))(-2 + x) = 10x * x
((-8 + 4x) + 5x * (-2 + x) + x2(-2 + x))(-2 + x) = 10x * x
(-8 + 4x + (-2 * 5x + x * 5x) + x2(-2 + x))(-2 + x) = 10x * x
(-8 + 4x + (-10x + 5x2) + x2(-2 + x))(-2 + x) = 10x * x
(-8 + 4x + -10x + 5x2 + (-2 * x2 + x * x2))(-2 + x) = 10x * x
(-8 + 4x + -10x + 5x2 + (-2x2 + x3))(-2 + x) = 10x * x

Combine like terms: 4x + -10x = -6x
(-8 + -6x + 5x2 + -2x2 + x3)(-2 + x) = 10x * x

Combine like terms: 5x2 + -2x2 = 3x2
(-8 + -6x + 3x2 + x3)(-2 + x) = 10x * x

Multiply (-8 + -6x + 3x2 + x3) * (-2 + x)
(-8(-2 + x) + -6x * (-2 + x) + 3x2 * (-2 + x) + x3(-2 + x)) = 10x * x
((-2 * -8 + x * -8) + -6x * (-2 + x) + 3x2 * (-2 + x) + x3(-2 + x)) = 10x * x
((16 + -8x) + -6x * (-2 + x) + 3x2 * (-2 + x) + x3(-2 + x)) = 10x * x
(16 + -8x + (-2 * -6x + x * -6x) + 3x2 * (-2 + x) + x3(-2 + x)) = 10x * x
(16 + -8x + (12x + -6x2) + 3x2 * (-2 + x) + x3(-2 + x)) = 10x * x
(16 + -8x + 12x + -6x2 + (-2 * 3x2 + x * 3x2) + x3(-2 + x)) = 10x * x
(16 + -8x + 12x + -6x2 + (-6x2 + 3x3) + x3(-2 + x)) = 10x * x
(16 + -8x + 12x + -6x2 + -6x2 + 3x3 + (-2 * x3 + x * x3)) = 10x * x
(16 + -8x + 12x + -6x2 + -6x2 + 3x3 + (-2x3 + x4)) = 10x * x

Combine like terms: -8x + 12x = 4x
(16 + 4x + -6x2 + -6x2 + 3x3 + -2x3 + x4) = 10x * x

Combine like terms: -6x2 + -6x2 = -12x2
(16 + 4x + -12x2 + 3x3 + -2x3 + x4) = 10x * x

Combine like terms: 3x3 + -2x3 = 1x3
(16 + 4x + -12x2 + 1x3 + x4) = 10x * x

Multiply x * x
16 + 4x + -12x2 + 1x3 + x4 = 10x2

Solving
16 + 4x + -12x2 + 1x3 + x4 = 10x2

Solving for variable 'x'.

Reorder the terms:
16 + 4x + -12x2 + -10x2 + 1x3 + x4 = 10x2 + -10x2

Combine like terms: -12x2 + -10x2 = -22x2
16 + 4x + -22x2 + 1x3 + x4 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
16 + 4x + -22x2 + 1x3 + x4 = 0

The solution to this equation could not be determined.

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