P(x)=4(x-2)(x+3)2(x-1)3

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Solution for P(x)=4(x-2)(x+3)2(x-1)3 equation: 


Simplifying
P(x) = 4(x + -2)(x + 3) * 2(x + -1) * 3

Multiply P * x
xP = 4(x + -2)(x + 3) * 2(x + -1) * 3

Reorder the terms:
xP = 4(-2 + x)(x + 3) * 2(x + -1) * 3

Reorder the terms:
xP = 4(-2 + x)(3 + x) * 2(x + -1) * 3

Reorder the terms:
xP = 4(-2 + x)(3 + x) * 2(-1 + x) * 3

Reorder the terms for easier multiplication:
xP = 4 * 2 * 3(-2 + x)(3 + x)(-1 + x)

Multiply 4 * 2
xP = 8 * 3(-2 + x)(3 + x)(-1 + x)

Multiply 8 * 3
xP = 24(-2 + x)(3 + x)(-1 + x)

Multiply (-2 + x) * (3 + x)
xP = 24(-2(3 + x) + x(3 + x))(-1 + x)
xP = 24((3 * -2 + x * -2) + x(3 + x))(-1 + x)
xP = 24((-6 + -2x) + x(3 + x))(-1 + x)
xP = 24(-6 + -2x + (3 * x + x * x))(-1 + x)
xP = 24(-6 + -2x + (3x + x2))(-1 + x)

Combine like terms: -2x + 3x = 1x
xP = 24(-6 + 1x + x2)(-1 + x)

Multiply (-6 + 1x + x2) * (-1 + x)
xP = 24(-6(-1 + x) + 1x * (-1 + x) + x2(-1 + x))
xP = 24((-1 * -6 + x * -6) + 1x * (-1 + x) + x2(-1 + x))
xP = 24((6 + -6x) + 1x * (-1 + x) + x2(-1 + x))
xP = 24(6 + -6x + (-1 * 1x + x * 1x) + x2(-1 + x))
xP = 24(6 + -6x + (-1x + 1x2) + x2(-1 + x))
xP = 24(6 + -6x + -1x + 1x2 + (-1 * x2 + x * x2))
xP = 24(6 + -6x + -1x + 1x2 + (-1x2 + x3))

Combine like terms: -6x + -1x = -7x
xP = 24(6 + -7x + 1x2 + -1x2 + x3)

Combine like terms: 1x2 + -1x2 = 0
xP = 24(6 + -7x + 0 + x3)
xP = 24(6 + -7x + x3)
xP = (6 * 24 + -7x * 24 + x3 * 24)
xP = (144 + -168x + 24x3)

Solving
xP = 144 + -168x + 24x3

Solving for variable 'x'.

Reorder the terms:
-144 + 168x + xP + -24x3 = 144 + -168x + 24x3 + -144 + 168x + -24x3

Reorder the terms:
-144 + 168x + xP + -24x3 = 144 + -144 + -168x + 168x + 24x3 + -24x3

Combine like terms: 144 + -144 = 0
-144 + 168x + xP + -24x3 = 0 + -168x + 168x + 24x3 + -24x3
-144 + 168x + xP + -24x3 = -168x + 168x + 24x3 + -24x3

Combine like terms: -168x + 168x = 0
-144 + 168x + xP + -24x3 = 0 + 24x3 + -24x3
-144 + 168x + xP + -24x3 = 24x3 + -24x3

Combine like terms: 24x3 + -24x3 = 0
-144 + 168x + xP + -24x3 = 0

The solution to this equation could not be determined.

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