h(x)=(2x+3)(x-2)-2(x-2)(2+5x)

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Solution for h(x)=(2x+3)(x-2)-2(x-2)(2+5x) equation: 


Simplifying
h(x) = (2x + 3)(x + -2) + -2(x + -2)(2 + 5x)

Multiply h * x
hx = (2x + 3)(x + -2) + -2(x + -2)(2 + 5x)

Reorder the terms:
hx = (3 + 2x)(x + -2) + -2(x + -2)(2 + 5x)

Reorder the terms:
hx = (3 + 2x)(-2 + x) + -2(x + -2)(2 + 5x)

Multiply (3 + 2x) * (-2 + x)
hx = (3(-2 + x) + 2x * (-2 + x)) + -2(x + -2)(2 + 5x)
hx = ((-2 * 3 + x * 3) + 2x * (-2 + x)) + -2(x + -2)(2 + 5x)
hx = ((-6 + 3x) + 2x * (-2 + x)) + -2(x + -2)(2 + 5x)
hx = (-6 + 3x + (-2 * 2x + x * 2x)) + -2(x + -2)(2 + 5x)
hx = (-6 + 3x + (-4x + 2x2)) + -2(x + -2)(2 + 5x)

Combine like terms: 3x + -4x = -1x
hx = (-6 + -1x + 2x2) + -2(x + -2)(2 + 5x)

Reorder the terms:
hx = -6 + -1x + 2x2 + -2(-2 + x)(2 + 5x)

Multiply (-2 + x) * (2 + 5x)
hx = -6 + -1x + 2x2 + -2(-2(2 + 5x) + x(2 + 5x))
hx = -6 + -1x + 2x2 + -2((2 * -2 + 5x * -2) + x(2 + 5x))
hx = -6 + -1x + 2x2 + -2((-4 + -10x) + x(2 + 5x))
hx = -6 + -1x + 2x2 + -2(-4 + -10x + (2 * x + 5x * x))
hx = -6 + -1x + 2x2 + -2(-4 + -10x + (2x + 5x2))

Combine like terms: -10x + 2x = -8x
hx = -6 + -1x + 2x2 + -2(-4 + -8x + 5x2)
hx = -6 + -1x + 2x2 + (-4 * -2 + -8x * -2 + 5x2 * -2)
hx = -6 + -1x + 2x2 + (8 + 16x + -10x2)

Reorder the terms:
hx = -6 + 8 + -1x + 16x + 2x2 + -10x2

Combine like terms: -6 + 8 = 2
hx = 2 + -1x + 16x + 2x2 + -10x2

Combine like terms: -1x + 16x = 15x
hx = 2 + 15x + 2x2 + -10x2

Combine like terms: 2x2 + -10x2 = -8x2
hx = 2 + 15x + -8x2

Solving
hx = 2 + 15x + -8x2

Solving for variable 'h'.

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

Divide each side by 'x'.
h = 2x-1 + 15 + -8x

Simplifying
h = 2x-1 + 15 + -8x

Reorder the terms:
h = 15 + 2x-1 + -8x

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