P(x)=(x-5)(x+7)(4x-4)

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Solution for P(x)=(x-5)(x+7)(4x-4) equation: 


Simplifying
P(x) = (x + -5)(x + 7)(4x + -4)

Multiply P * x
xP = (x + -5)(x + 7)(4x + -4)

Reorder the terms:
xP = (-5 + x)(x + 7)(4x + -4)

Reorder the terms:
xP = (-5 + x)(7 + x)(4x + -4)

Reorder the terms:
xP = (-5 + x)(7 + x)(-4 + 4x)

Multiply (-5 + x) * (7 + x)
xP = (-5(7 + x) + x(7 + x))(-4 + 4x)
xP = ((7 * -5 + x * -5) + x(7 + x))(-4 + 4x)
xP = ((-35 + -5x) + x(7 + x))(-4 + 4x)
xP = (-35 + -5x + (7 * x + x * x))(-4 + 4x)
xP = (-35 + -5x + (7x + x2))(-4 + 4x)

Combine like terms: -5x + 7x = 2x
xP = (-35 + 2x + x2)(-4 + 4x)

Multiply (-35 + 2x + x2) * (-4 + 4x)
xP = (-35(-4 + 4x) + 2x * (-4 + 4x) + x2(-4 + 4x))
xP = ((-4 * -35 + 4x * -35) + 2x * (-4 + 4x) + x2(-4 + 4x))
xP = ((140 + -140x) + 2x * (-4 + 4x) + x2(-4 + 4x))
xP = (140 + -140x + (-4 * 2x + 4x * 2x) + x2(-4 + 4x))
xP = (140 + -140x + (-8x + 8x2) + x2(-4 + 4x))
xP = (140 + -140x + -8x + 8x2 + (-4 * x2 + 4x * x2))
xP = (140 + -140x + -8x + 8x2 + (-4x2 + 4x3))

Combine like terms: -140x + -8x = -148x
xP = (140 + -148x + 8x2 + -4x2 + 4x3)

Combine like terms: 8x2 + -4x2 = 4x2
xP = (140 + -148x + 4x2 + 4x3)

Solving
xP = 140 + -148x + 4x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-140 + 148x + xP + -4x2 + -4x3 = 140 + -148x + 4x2 + 4x3 + -140 + 148x + -4x2 + -4x3

Reorder the terms:
-140 + 148x + xP + -4x2 + -4x3 = 140 + -140 + -148x + 148x + 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: 140 + -140 = 0
-140 + 148x + xP + -4x2 + -4x3 = 0 + -148x + 148x + 4x2 + -4x2 + 4x3 + -4x3
-140 + 148x + xP + -4x2 + -4x3 = -148x + 148x + 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: -148x + 148x = 0
-140 + 148x + xP + -4x2 + -4x3 = 0 + 4x2 + -4x2 + 4x3 + -4x3
-140 + 148x + xP + -4x2 + -4x3 = 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: 4x2 + -4x2 = 0
-140 + 148x + xP + -4x2 + -4x3 = 0 + 4x3 + -4x3
-140 + 148x + xP + -4x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-140 + 148x + xP + -4x2 + -4x3 = 0

The solution to this equation could not be determined.

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