(x-5)(x+4)(x-4)=4(x-2)(x-2)

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Solution for (x-5)(x+4)(x-4)=4(x-2)(x-2) equation: 


Simplifying
(x + -5)(x + 4)(x + -4) = 4(x + -2)(x + -2)

Reorder the terms:
(-5 + x)(x + 4)(x + -4) = 4(x + -2)(x + -2)

Reorder the terms:
(-5 + x)(4 + x)(x + -4) = 4(x + -2)(x + -2)

Reorder the terms:
(-5 + x)(4 + x)(-4 + x) = 4(x + -2)(x + -2)

Multiply (-5 + x) * (4 + x)
(-5(4 + x) + x(4 + x))(-4 + x) = 4(x + -2)(x + -2)
((4 * -5 + x * -5) + x(4 + x))(-4 + x) = 4(x + -2)(x + -2)
((-20 + -5x) + x(4 + x))(-4 + x) = 4(x + -2)(x + -2)
(-20 + -5x + (4 * x + x * x))(-4 + x) = 4(x + -2)(x + -2)
(-20 + -5x + (4x + x2))(-4 + x) = 4(x + -2)(x + -2)

Combine like terms: -5x + 4x = -1x
(-20 + -1x + x2)(-4 + x) = 4(x + -2)(x + -2)

Multiply (-20 + -1x + x2) * (-4 + x)
(-20(-4 + x) + -1x * (-4 + x) + x2(-4 + x)) = 4(x + -2)(x + -2)
((-4 * -20 + x * -20) + -1x * (-4 + x) + x2(-4 + x)) = 4(x + -2)(x + -2)
((80 + -20x) + -1x * (-4 + x) + x2(-4 + x)) = 4(x + -2)(x + -2)
(80 + -20x + (-4 * -1x + x * -1x) + x2(-4 + x)) = 4(x + -2)(x + -2)
(80 + -20x + (4x + -1x2) + x2(-4 + x)) = 4(x + -2)(x + -2)
(80 + -20x + 4x + -1x2 + (-4 * x2 + x * x2)) = 4(x + -2)(x + -2)
(80 + -20x + 4x + -1x2 + (-4x2 + x3)) = 4(x + -2)(x + -2)

Combine like terms: -20x + 4x = -16x
(80 + -16x + -1x2 + -4x2 + x3) = 4(x + -2)(x + -2)

Combine like terms: -1x2 + -4x2 = -5x2
(80 + -16x + -5x2 + x3) = 4(x + -2)(x + -2)

Reorder the terms:
80 + -16x + -5x2 + x3 = 4(-2 + x)(x + -2)

Reorder the terms:
80 + -16x + -5x2 + x3 = 4(-2 + x)(-2 + x)

Multiply (-2 + x) * (-2 + x)
80 + -16x + -5x2 + x3 = 4(-2(-2 + x) + x(-2 + x))
80 + -16x + -5x2 + x3 = 4((-2 * -2 + x * -2) + x(-2 + x))
80 + -16x + -5x2 + x3 = 4((4 + -2x) + x(-2 + x))
80 + -16x + -5x2 + x3 = 4(4 + -2x + (-2 * x + x * x))
80 + -16x + -5x2 + x3 = 4(4 + -2x + (-2x + x2))

Combine like terms: -2x + -2x = -4x
80 + -16x + -5x2 + x3 = 4(4 + -4x + x2)
80 + -16x + -5x2 + x3 = (4 * 4 + -4x * 4 + x2 * 4)
80 + -16x + -5x2 + x3 = (16 + -16x + 4x2)

Add '16x' to each side of the equation.
80 + -16x + -5x2 + 16x + x3 = 16 + -16x + 16x + 4x2

Reorder the terms:
80 + -16x + 16x + -5x2 + x3 = 16 + -16x + 16x + 4x2

Combine like terms: -16x + 16x = 0
80 + 0 + -5x2 + x3 = 16 + -16x + 16x + 4x2
80 + -5x2 + x3 = 16 + -16x + 16x + 4x2

Combine like terms: -16x + 16x = 0
80 + -5x2 + x3 = 16 + 0 + 4x2
80 + -5x2 + x3 = 16 + 4x2

Solving
80 + -5x2 + x3 = 16 + 4x2

Solving for variable 'x'.

Reorder the terms:
80 + -16 + -5x2 + -4x2 + x3 = 16 + 4x2 + -16 + -4x2

Combine like terms: 80 + -16 = 64
64 + -5x2 + -4x2 + x3 = 16 + 4x2 + -16 + -4x2

Combine like terms: -5x2 + -4x2 = -9x2
64 + -9x2 + x3 = 16 + 4x2 + -16 + -4x2

Reorder the terms:
64 + -9x2 + x3 = 16 + -16 + 4x2 + -4x2

Combine like terms: 16 + -16 = 0
64 + -9x2 + x3 = 0 + 4x2 + -4x2
64 + -9x2 + x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
64 + -9x2 + x3 = 0

The solution to this equation could not be determined.

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