Fx^2+gx+h=0

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Solution for Fx^2+gx+h=0 equation: 


Simplifying
Fx2 + gx + h = 0

Reorder the terms:
gx + h + x2F = 0

Solving
gx + h + x2F = 0

Solving for variable 'g'.

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

Add '-1h' to each side of the equation.
gx + h + -1h + x2F = 0 + -1h

Combine like terms: h + -1h = 0
gx + 0 + x2F = 0 + -1h
gx + x2F = 0 + -1h
Remove the zero:
gx + x2F = -1h

Add '-1x2F' to each side of the equation.
gx + x2F + -1x2F = -1h + -1x2F

Combine like terms: x2F + -1x2F = 0
gx + 0 = -1h + -1x2F
gx = -1h + -1x2F

Divide each side by 'x'.
g = -1hx-1 + -1xF

Simplifying
g = -1hx-1 + -1xF

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