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

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Solution for 0=(x+4)(x-5)(x-5)(x-5) equation:


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

Reorder the terms:
0 = (4 + x)(x + -5)(x + -5)(x + -5)

Reorder the terms:
0 = (4 + x)(-5 + x)(x + -5)(x + -5)

Reorder the terms:
0 = (4 + x)(-5 + x)(-5 + x)(x + -5)

Reorder the terms:
0 = (4 + x)(-5 + x)(-5 + x)(-5 + x)

Multiply (4 + x) * (-5 + x)
0 = (4(-5 + x) + x(-5 + x))(-5 + x)(-5 + x)
0 = ((-5 * 4 + x * 4) + x(-5 + x))(-5 + x)(-5 + x)
0 = ((-20 + 4x) + x(-5 + x))(-5 + x)(-5 + x)
0 = (-20 + 4x + (-5 * x + x * x))(-5 + x)(-5 + x)
0 = (-20 + 4x + (-5x + x2))(-5 + x)(-5 + x)

Combine like terms: 4x + -5x = -1x
0 = (-20 + -1x + x2)(-5 + x)(-5 + x)

Multiply (-20 + -1x + x2) * (-5 + x)
0 = (-20(-5 + x) + -1x * (-5 + x) + x2(-5 + x))(-5 + x)
0 = ((-5 * -20 + x * -20) + -1x * (-5 + x) + x2(-5 + x))(-5 + x)
0 = ((100 + -20x) + -1x * (-5 + x) + x2(-5 + x))(-5 + x)
0 = (100 + -20x + (-5 * -1x + x * -1x) + x2(-5 + x))(-5 + x)
0 = (100 + -20x + (5x + -1x2) + x2(-5 + x))(-5 + x)
0 = (100 + -20x + 5x + -1x2 + (-5 * x2 + x * x2))(-5 + x)
0 = (100 + -20x + 5x + -1x2 + (-5x2 + x3))(-5 + x)

Combine like terms: -20x + 5x = -15x
0 = (100 + -15x + -1x2 + -5x2 + x3)(-5 + x)

Combine like terms: -1x2 + -5x2 = -6x2
0 = (100 + -15x + -6x2 + x3)(-5 + x)

Multiply (100 + -15x + -6x2 + x3) * (-5 + x)
0 = (100(-5 + x) + -15x * (-5 + x) + -6x2 * (-5 + x) + x3(-5 + x))
0 = ((-5 * 100 + x * 100) + -15x * (-5 + x) + -6x2 * (-5 + x) + x3(-5 + x))
0 = ((-500 + 100x) + -15x * (-5 + x) + -6x2 * (-5 + x) + x3(-5 + x))
0 = (-500 + 100x + (-5 * -15x + x * -15x) + -6x2 * (-5 + x) + x3(-5 + x))
0 = (-500 + 100x + (75x + -15x2) + -6x2 * (-5 + x) + x3(-5 + x))
0 = (-500 + 100x + 75x + -15x2 + (-5 * -6x2 + x * -6x2) + x3(-5 + x))
0 = (-500 + 100x + 75x + -15x2 + (30x2 + -6x3) + x3(-5 + x))
0 = (-500 + 100x + 75x + -15x2 + 30x2 + -6x3 + (-5 * x3 + x * x3))
0 = (-500 + 100x + 75x + -15x2 + 30x2 + -6x3 + (-5x3 + x4))

Combine like terms: 100x + 75x = 175x
0 = (-500 + 175x + -15x2 + 30x2 + -6x3 + -5x3 + x4)

Combine like terms: -15x2 + 30x2 = 15x2
0 = (-500 + 175x + 15x2 + -6x3 + -5x3 + x4)

Combine like terms: -6x3 + -5x3 = -11x3
0 = (-500 + 175x + 15x2 + -11x3 + x4)

Solving
0 = -500 + 175x + 15x2 + -11x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + 500 = 500
500 + -175x + -15x2 + 11x3 + -1x4 = -500 + 175x + 15x2 + -11x3 + x4 + 500 + -175x + -15x2 + 11x3 + -1x4

Reorder the terms:
500 + -175x + -15x2 + 11x3 + -1x4 = -500 + 500 + 175x + -175x + 15x2 + -15x2 + -11x3 + 11x3 + x4 + -1x4

Combine like terms: -500 + 500 = 0
500 + -175x + -15x2 + 11x3 + -1x4 = 0 + 175x + -175x + 15x2 + -15x2 + -11x3 + 11x3 + x4 + -1x4
500 + -175x + -15x2 + 11x3 + -1x4 = 175x + -175x + 15x2 + -15x2 + -11x3 + 11x3 + x4 + -1x4

Combine like terms: 175x + -175x = 0
500 + -175x + -15x2 + 11x3 + -1x4 = 0 + 15x2 + -15x2 + -11x3 + 11x3 + x4 + -1x4
500 + -175x + -15x2 + 11x3 + -1x4 = 15x2 + -15x2 + -11x3 + 11x3 + x4 + -1x4

Combine like terms: 15x2 + -15x2 = 0
500 + -175x + -15x2 + 11x3 + -1x4 = 0 + -11x3 + 11x3 + x4 + -1x4
500 + -175x + -15x2 + 11x3 + -1x4 = -11x3 + 11x3 + x4 + -1x4

Combine like terms: -11x3 + 11x3 = 0
500 + -175x + -15x2 + 11x3 + -1x4 = 0 + x4 + -1x4
500 + -175x + -15x2 + 11x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
500 + -175x + -15x2 + 11x3 + -1x4 = 0

The solution to this equation could not be determined.

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