f(x)=2(x-5)2-8

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Solution for f(x)=2(x-5)2-8 equation: 


Simplifying
f(x) = 2(x + -5) * 2 + -8

Multiply f * x
fx = 2(x + -5) * 2 + -8

Reorder the terms:
fx = 2(-5 + x) * 2 + -8

Reorder the terms for easier multiplication:
fx = 2 * 2(-5 + x) + -8

Multiply 2 * 2
fx = 4(-5 + x) + -8
fx = (-5 * 4 + x * 4) + -8
fx = (-20 + 4x) + -8

Reorder the terms:
fx = -20 + -8 + 4x

Combine like terms: -20 + -8 = -28
fx = -28 + 4x

Solving
fx = -28 + 4x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -28x-1 + 4

Simplifying
f = -28x-1 + 4

Reorder the terms:
f = 4 + -28x-1

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