P(x)=(x-5)(x+1)(x-9)

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Solution for P(x)=(x-5)(x+1)(x-9) equation: 


Simplifying
P(x) = (x + -5)(x + 1)(x + -9)

Multiply P * x
xP = (x + -5)(x + 1)(x + -9)

Reorder the terms:
xP = (-5 + x)(x + 1)(x + -9)

Reorder the terms:
xP = (-5 + x)(1 + x)(x + -9)

Reorder the terms:
xP = (-5 + x)(1 + x)(-9 + x)

Multiply (-5 + x) * (1 + x)
xP = (-5(1 + x) + x(1 + x))(-9 + x)
xP = ((1 * -5 + x * -5) + x(1 + x))(-9 + x)
xP = ((-5 + -5x) + x(1 + x))(-9 + x)
xP = (-5 + -5x + (1 * x + x * x))(-9 + x)
xP = (-5 + -5x + (1x + x2))(-9 + x)

Combine like terms: -5x + 1x = -4x
xP = (-5 + -4x + x2)(-9 + x)

Multiply (-5 + -4x + x2) * (-9 + x)
xP = (-5(-9 + x) + -4x * (-9 + x) + x2(-9 + x))
xP = ((-9 * -5 + x * -5) + -4x * (-9 + x) + x2(-9 + x))
xP = ((45 + -5x) + -4x * (-9 + x) + x2(-9 + x))
xP = (45 + -5x + (-9 * -4x + x * -4x) + x2(-9 + x))
xP = (45 + -5x + (36x + -4x2) + x2(-9 + x))
xP = (45 + -5x + 36x + -4x2 + (-9 * x2 + x * x2))
xP = (45 + -5x + 36x + -4x2 + (-9x2 + x3))

Combine like terms: -5x + 36x = 31x
xP = (45 + 31x + -4x2 + -9x2 + x3)

Combine like terms: -4x2 + -9x2 = -13x2
xP = (45 + 31x + -13x2 + x3)

Solving
xP = 45 + 31x + -13x2 + x3

Solving for variable 'x'.

Reorder the terms:
-45 + -31x + xP + 13x2 + -1x3 = 45 + 31x + -13x2 + x3 + -45 + -31x + 13x2 + -1x3

Reorder the terms:
-45 + -31x + xP + 13x2 + -1x3 = 45 + -45 + 31x + -31x + -13x2 + 13x2 + x3 + -1x3

Combine like terms: 45 + -45 = 0
-45 + -31x + xP + 13x2 + -1x3 = 0 + 31x + -31x + -13x2 + 13x2 + x3 + -1x3
-45 + -31x + xP + 13x2 + -1x3 = 31x + -31x + -13x2 + 13x2 + x3 + -1x3

Combine like terms: 31x + -31x = 0
-45 + -31x + xP + 13x2 + -1x3 = 0 + -13x2 + 13x2 + x3 + -1x3
-45 + -31x + xP + 13x2 + -1x3 = -13x2 + 13x2 + x3 + -1x3

Combine like terms: -13x2 + 13x2 = 0
-45 + -31x + xP + 13x2 + -1x3 = 0 + x3 + -1x3
-45 + -31x + xP + 13x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-45 + -31x + xP + 13x2 + -1x3 = 0

The solution to this equation could not be determined.

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