F(x+h)=2x^2+5x+2

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Solution for F(x+h)=2x^2+5x+2 equation:


Simplifying
F(x + h) = 2x2 + 5x + 2

Reorder the terms:
F(h + x) = 2x2 + 5x + 2
(h * F + x * F) = 2x2 + 5x + 2
(hF + xF) = 2x2 + 5x + 2

Reorder the terms:
hF + xF = 2 + 5x + 2x2

Solving
hF + xF = 2 + 5x + 2x2

Solving for variable 'h'.

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

Add '-1xF' to each side of the equation.
hF + xF + -1xF = 2 + 5x + -1xF + 2x2

Combine like terms: xF + -1xF = 0
hF + 0 = 2 + 5x + -1xF + 2x2
hF = 2 + 5x + -1xF + 2x2

Divide each side by 'F'.
h = 2F-1 + 5xF-1 + -1x + 2x2F-1

Simplifying
h = 2F-1 + 5xF-1 + -1x + 2x2F-1

Reorder the terms:
h = 2F-1 + -1x + 5xF-1 + 2x2F-1

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