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

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


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

Multiply P * x
xP = (x + 2)(x + -5)(x + 4)

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

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

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

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

Combine like terms: 2x + -5x = -3x
xP = (-10 + -3x + x2)(4 + x)

Multiply (-10 + -3x + x2) * (4 + x)
xP = (-10(4 + x) + -3x * (4 + x) + x2(4 + x))
xP = ((4 * -10 + x * -10) + -3x * (4 + x) + x2(4 + x))
xP = ((-40 + -10x) + -3x * (4 + x) + x2(4 + x))
xP = (-40 + -10x + (4 * -3x + x * -3x) + x2(4 + x))
xP = (-40 + -10x + (-12x + -3x2) + x2(4 + x))
xP = (-40 + -10x + -12x + -3x2 + (4 * x2 + x * x2))
xP = (-40 + -10x + -12x + -3x2 + (4x2 + x3))

Combine like terms: -10x + -12x = -22x
xP = (-40 + -22x + -3x2 + 4x2 + x3)

Combine like terms: -3x2 + 4x2 = 1x2
xP = (-40 + -22x + 1x2 + x3)

Solving
xP = -40 + -22x + 1x2 + x3

Solving for variable 'x'.

Reorder the terms:
40 + 22x + xP + -1x2 + -1x3 = -40 + -22x + 1x2 + x3 + 40 + 22x + -1x2 + -1x3

Reorder the terms:
40 + 22x + xP + -1x2 + -1x3 = -40 + 40 + -22x + 22x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: -40 + 40 = 0
40 + 22x + xP + -1x2 + -1x3 = 0 + -22x + 22x + 1x2 + -1x2 + x3 + -1x3
40 + 22x + xP + -1x2 + -1x3 = -22x + 22x + 1x2 + -1x2 + x3 + -1x3

Combine like terms: -22x + 22x = 0
40 + 22x + xP + -1x2 + -1x3 = 0 + 1x2 + -1x2 + x3 + -1x3
40 + 22x + xP + -1x2 + -1x3 = 1x2 + -1x2 + x3 + -1x3

Combine like terms: 1x2 + -1x2 = 0
40 + 22x + xP + -1x2 + -1x3 = 0 + x3 + -1x3
40 + 22x + xP + -1x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
40 + 22x + xP + -1x2 + -1x3 = 0

The solution to this equation could not be determined.

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