g(2z)=x^2-7

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Solution for g(2z)=x^2-7 equation:


Simplifying
g(2z) = x2 + -7

Remove parenthesis around (2z)
g * 2z = x2 + -7

Reorder the terms for easier multiplication:
2g * z = x2 + -7

Multiply g * z
2gz = x2 + -7

Reorder the terms:
2gz = -7 + x2

Solving
2gz = -7 + x2

Solving for variable 'g'.

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

Divide each side by '2z'.
g = -3.5z-1 + 0.5x2z-1

Simplifying
g = -3.5z-1 + 0.5x2z-1

Reorder the terms:
g = 0.5x2z-1 + -3.5z-1

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