h(x)=-x(x-3)(x-3)(x+2)

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


Simplifying
h(x) = -1x(x + -3)(x + -3)(x + 2)

Multiply h * x
hx = -1x(x + -3)(x + -3)(x + 2)

Reorder the terms:
hx = -1x(-3 + x)(x + -3)(x + 2)

Reorder the terms:
hx = -1x(-3 + x)(-3 + x)(x + 2)

Reorder the terms:
hx = -1x(-3 + x)(-3 + x)(2 + x)

Multiply (-3 + x) * (-3 + x)
hx = -1x(-3(-3 + x) + x(-3 + x))(2 + x)
hx = -1x((-3 * -3 + x * -3) + x(-3 + x))(2 + x)
hx = -1x((9 + -3x) + x(-3 + x))(2 + x)
hx = -1x(9 + -3x + (-3 * x + x * x))(2 + x)
hx = -1x(9 + -3x + (-3x + x2))(2 + x)

Combine like terms: -3x + -3x = -6x
hx = -1x(9 + -6x + x2)(2 + x)

Multiply (9 + -6x + x2) * (2 + x)
hx = -1x(9(2 + x) + -6x * (2 + x) + x2(2 + x))
hx = -1x((2 * 9 + x * 9) + -6x * (2 + x) + x2(2 + x))
hx = -1x((18 + 9x) + -6x * (2 + x) + x2(2 + x))
hx = -1x(18 + 9x + (2 * -6x + x * -6x) + x2(2 + x))
hx = -1x(18 + 9x + (-12x + -6x2) + x2(2 + x))
hx = -1x(18 + 9x + -12x + -6x2 + (2 * x2 + x * x2))
hx = -1x(18 + 9x + -12x + -6x2 + (2x2 + x3))

Combine like terms: 9x + -12x = -3x
hx = -1x(18 + -3x + -6x2 + 2x2 + x3)

Combine like terms: -6x2 + 2x2 = -4x2
hx = -1x(18 + -3x + -4x2 + x3)
hx = (18 * -1x + -3x * -1x + -4x2 * -1x + x3 * -1x)
hx = (-18x + 3x2 + 4x3 + -1x4)

Solving
hx = -18x + 3x2 + 4x3 + -1x4

Solving for variable 'h'.

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

Divide each side by 'x'.
h = -18 + 3x + 4x2 + -1x3

Simplifying
h = -18 + 3x + 4x2 + -1x3

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