h(x)=(x-4)(2x^2-2x+1)

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Solution for h(x)=(x-4)(2x^2-2x+1) equation: 


Simplifying
h(x) = (x + -4)(2x2 + -2x + 1)

Multiply h * x
hx = (x + -4)(2x2 + -2x + 1)

Reorder the terms:
hx = (-4 + x)(2x2 + -2x + 1)

Reorder the terms:
hx = (-4 + x)(1 + -2x + 2x2)

Multiply (-4 + x) * (1 + -2x + 2x2)
hx = (-4(1 + -2x + 2x2) + x(1 + -2x + 2x2))
hx = ((1 * -4 + -2x * -4 + 2x2 * -4) + x(1 + -2x + 2x2))
hx = ((-4 + 8x + -8x2) + x(1 + -2x + 2x2))
hx = (-4 + 8x + -8x2 + (1 * x + -2x * x + 2x2 * x))
hx = (-4 + 8x + -8x2 + (1x + -2x2 + 2x3))

Reorder the terms:
hx = (-4 + 8x + 1x + -8x2 + -2x2 + 2x3)

Combine like terms: 8x + 1x = 9x
hx = (-4 + 9x + -8x2 + -2x2 + 2x3)

Combine like terms: -8x2 + -2x2 = -10x2
hx = (-4 + 9x + -10x2 + 2x3)

Solving
hx = -4 + 9x + -10x2 + 2x3

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 'x'.
h = -4x-1 + 9 + -10x + 2x2

Simplifying
h = -4x-1 + 9 + -10x + 2x2

Reorder the terms:
h = 9 + -4x-1 + -10x + 2x2

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