P(x)=(x+5)(x-9)(x+4)

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Solution for P(x)=(x+5)(x-9)(x+4) equation: 


Simplifying
P(x) = (x + 5)(x + -9)(x + 4)

Multiply P * x
xP = (x + 5)(x + -9)(x + 4)

Reorder the terms:
xP = (5 + x)(x + -9)(x + 4)

Reorder the terms:
xP = (5 + x)(-9 + x)(x + 4)

Reorder the terms:
xP = (5 + x)(-9 + x)(4 + x)

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

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

Multiply (-45 + -4x + x2) * (4 + x)
xP = (-45(4 + x) + -4x * (4 + x) + x2(4 + x))
xP = ((4 * -45 + x * -45) + -4x * (4 + x) + x2(4 + x))
xP = ((-180 + -45x) + -4x * (4 + x) + x2(4 + x))
xP = (-180 + -45x + (4 * -4x + x * -4x) + x2(4 + x))
xP = (-180 + -45x + (-16x + -4x2) + x2(4 + x))
xP = (-180 + -45x + -16x + -4x2 + (4 * x2 + x * x2))
xP = (-180 + -45x + -16x + -4x2 + (4x2 + x3))

Combine like terms: -45x + -16x = -61x
xP = (-180 + -61x + -4x2 + 4x2 + x3)

Combine like terms: -4x2 + 4x2 = 0
xP = (-180 + -61x + 0 + x3)
xP = (-180 + -61x + x3)

Solving
xP = -180 + -61x + x3

Solving for variable 'x'.

Reorder the terms:
180 + 61x + xP + -1x3 = -180 + -61x + x3 + 180 + 61x + -1x3

Reorder the terms:
180 + 61x + xP + -1x3 = -180 + 180 + -61x + 61x + x3 + -1x3

Combine like terms: -180 + 180 = 0
180 + 61x + xP + -1x3 = 0 + -61x + 61x + x3 + -1x3
180 + 61x + xP + -1x3 = -61x + 61x + x3 + -1x3

Combine like terms: -61x + 61x = 0
180 + 61x + xP + -1x3 = 0 + x3 + -1x3
180 + 61x + xP + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
180 + 61x + xP + -1x3 = 0

The solution to this equation could not be determined.

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