P(x)=(x+3)(x-5)(x+2)

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Solution for P(x)=(x+3)(x-5)(x+2) equation: 


Simplifying
P(x) = (x + 3)(x + -5)(x + 2)

Multiply P * x
xP = (x + 3)(x + -5)(x + 2)

Reorder the terms:
xP = (3 + x)(x + -5)(x + 2)

Reorder the terms:
xP = (3 + x)(-5 + x)(x + 2)

Reorder the terms:
xP = (3 + x)(-5 + x)(2 + x)

Multiply (3 + x) * (-5 + x)
xP = (3(-5 + x) + x(-5 + x))(2 + x)
xP = ((-5 * 3 + x * 3) + x(-5 + x))(2 + x)
xP = ((-15 + 3x) + x(-5 + x))(2 + x)
xP = (-15 + 3x + (-5 * x + x * x))(2 + x)
xP = (-15 + 3x + (-5x + x2))(2 + x)

Combine like terms: 3x + -5x = -2x
xP = (-15 + -2x + x2)(2 + x)

Multiply (-15 + -2x + x2) * (2 + x)
xP = (-15(2 + x) + -2x * (2 + x) + x2(2 + x))
xP = ((2 * -15 + x * -15) + -2x * (2 + x) + x2(2 + x))
xP = ((-30 + -15x) + -2x * (2 + x) + x2(2 + x))
xP = (-30 + -15x + (2 * -2x + x * -2x) + x2(2 + x))
xP = (-30 + -15x + (-4x + -2x2) + x2(2 + x))
xP = (-30 + -15x + -4x + -2x2 + (2 * x2 + x * x2))
xP = (-30 + -15x + -4x + -2x2 + (2x2 + x3))

Combine like terms: -15x + -4x = -19x
xP = (-30 + -19x + -2x2 + 2x2 + x3)

Combine like terms: -2x2 + 2x2 = 0
xP = (-30 + -19x + 0 + x3)
xP = (-30 + -19x + x3)

Solving
xP = -30 + -19x + x3

Solving for variable 'x'.

Reorder the terms:
30 + 19x + xP + -1x3 = -30 + -19x + x3 + 30 + 19x + -1x3

Reorder the terms:
30 + 19x + xP + -1x3 = -30 + 30 + -19x + 19x + x3 + -1x3

Combine like terms: -30 + 30 = 0
30 + 19x + xP + -1x3 = 0 + -19x + 19x + x3 + -1x3
30 + 19x + xP + -1x3 = -19x + 19x + x3 + -1x3

Combine like terms: -19x + 19x = 0
30 + 19x + xP + -1x3 = 0 + x3 + -1x3
30 + 19x + xP + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
30 + 19x + xP + -1x3 = 0

The solution to this equation could not be determined.

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