g(a+h)=-x^2+6x

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Solution for g(a+h)=-x^2+6x equation:


Simplifying
g(a + h) = -1x2 + 6x
(a * g + h * g) = -1x2 + 6x
(ag + gh) = -1x2 + 6x

Reorder the terms:
ag + gh = 6x + -1x2

Solving
ag + gh = 6x + -1x2

Solving for variable 'a'.

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

Add '-1gh' to each side of the equation.
ag + gh + -1gh = 6x + -1gh + -1x2

Combine like terms: gh + -1gh = 0
ag + 0 = 6x + -1gh + -1x2
ag = 6x + -1gh + -1x2

Reorder the terms:
ag = -1gh + 6x + -1x2

Divide each side by 'g'.
a = -1h + 6g-1x + -1g-1x2

Simplifying
a = -1h + 6g-1x + -1g-1x2

Reorder the terms:
a = 6g-1x + -1g-1x2 + -1h

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