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

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


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

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

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

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

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

Combine like terms: 2x + 1x = 3x
hx = 3x + x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
hx = 3x + -1x2

Solving
hx = 3x + -1x2

Solving for variable 'h'.

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

Divide each side by 'x'.
h = 3 + -1x

Simplifying
h = 3 + -1x

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