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

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


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

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

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

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

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

Multiply (5 + x) * (-2 + x)
xP = (5(-2 + x) + x(-2 + x))(3 + x)
xP = ((-2 * 5 + x * 5) + x(-2 + x))(3 + x)
xP = ((-10 + 5x) + x(-2 + x))(3 + x)
xP = (-10 + 5x + (-2 * x + x * x))(3 + x)
xP = (-10 + 5x + (-2x + x2))(3 + x)

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

Multiply (-10 + 3x + x2) * (3 + x)
xP = (-10(3 + x) + 3x * (3 + x) + x2(3 + x))
xP = ((3 * -10 + x * -10) + 3x * (3 + x) + x2(3 + x))
xP = ((-30 + -10x) + 3x * (3 + x) + x2(3 + x))
xP = (-30 + -10x + (3 * 3x + x * 3x) + x2(3 + x))
xP = (-30 + -10x + (9x + 3x2) + x2(3 + x))
xP = (-30 + -10x + 9x + 3x2 + (3 * x2 + x * x2))
xP = (-30 + -10x + 9x + 3x2 + (3x2 + x3))

Combine like terms: -10x + 9x = -1x
xP = (-30 + -1x + 3x2 + 3x2 + x3)

Combine like terms: 3x2 + 3x2 = 6x2
xP = (-30 + -1x + 6x2 + x3)

Solving
xP = -30 + -1x + 6x2 + x3

Solving for variable 'x'.

Reorder the terms:
30 + x + xP + -6x2 + -1x3 = -30 + -1x + 6x2 + x3 + 30 + x + -6x2 + -1x3

Reorder the terms:
30 + x + xP + -6x2 + -1x3 = -30 + 30 + -1x + x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: -30 + 30 = 0
30 + x + xP + -6x2 + -1x3 = 0 + -1x + x + 6x2 + -6x2 + x3 + -1x3
30 + x + xP + -6x2 + -1x3 = -1x + x + 6x2 + -6x2 + x3 + -1x3

Combine like terms: -1x + x = 0
30 + x + xP + -6x2 + -1x3 = 0 + 6x2 + -6x2 + x3 + -1x3
30 + x + xP + -6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
30 + x + xP + -6x2 + -1x3 = 0 + x3 + -1x3
30 + x + xP + -6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
30 + x + xP + -6x2 + -1x3 = 0

The solution to this equation could not be determined.

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