h(x)=(9+4x)*(9+4x)-(2-x)*(2-x)

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Solution for h(x)=(9+4x)*(9+4x)-(2-x)*(2-x) equation: 


Simplifying
h(x) = (9 + 4x)(9 + 4x) + -1(2 + -1x)(2 + -1x)

Multiply h * x
hx = (9 + 4x)(9 + 4x) + -1(2 + -1x)(2 + -1x)

Multiply (9 + 4x) * (9 + 4x)
hx = (9(9 + 4x) + 4x * (9 + 4x)) + -1(2 + -1x)(2 + -1x)
hx = ((9 * 9 + 4x * 9) + 4x * (9 + 4x)) + -1(2 + -1x)(2 + -1x)
hx = ((81 + 36x) + 4x * (9 + 4x)) + -1(2 + -1x)(2 + -1x)
hx = (81 + 36x + (9 * 4x + 4x * 4x)) + -1(2 + -1x)(2 + -1x)
hx = (81 + 36x + (36x + 16x2)) + -1(2 + -1x)(2 + -1x)

Combine like terms: 36x + 36x = 72x
hx = (81 + 72x + 16x2) + -1(2 + -1x)(2 + -1x)

Multiply (2 + -1x) * (2 + -1x)
hx = 81 + 72x + 16x2 + -1(2(2 + -1x) + -1x * (2 + -1x))
hx = 81 + 72x + 16x2 + -1((2 * 2 + -1x * 2) + -1x * (2 + -1x))
hx = 81 + 72x + 16x2 + -1((4 + -2x) + -1x * (2 + -1x))
hx = 81 + 72x + 16x2 + -1(4 + -2x + (2 * -1x + -1x * -1x))
hx = 81 + 72x + 16x2 + -1(4 + -2x + (-2x + 1x2))

Combine like terms: -2x + -2x = -4x
hx = 81 + 72x + 16x2 + -1(4 + -4x + 1x2)
hx = 81 + 72x + 16x2 + (4 * -1 + -4x * -1 + 1x2 * -1)
hx = 81 + 72x + 16x2 + (-4 + 4x + -1x2)

Reorder the terms:
hx = 81 + -4 + 72x + 4x + 16x2 + -1x2

Combine like terms: 81 + -4 = 77
hx = 77 + 72x + 4x + 16x2 + -1x2

Combine like terms: 72x + 4x = 76x
hx = 77 + 76x + 16x2 + -1x2

Combine like terms: 16x2 + -1x2 = 15x2
hx = 77 + 76x + 15x2

Solving
hx = 77 + 76x + 15x2

Solving for variable 'h'.

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

Divide each side by 'x'.
h = 77x-1 + 76 + 15x

Simplifying
h = 77x-1 + 76 + 15x

Reorder the terms:
h = 76 + 77x-1 + 15x

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