f(x*0.5)=3x^2+3x-7

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Solution for f(x*0.5)=3x^2+3x-7 equation: 


Simplifying
f(x * 0.5) = 3x2 + 3x + -7

Reorder the terms for easier multiplication:
f(0.5x) = 3x2 + 3x + -7

Remove parenthesis around (0.5x)
f * 0.5x = 3x2 + 3x + -7

Reorder the terms for easier multiplication:
0.5f * x = 3x2 + 3x + -7

Multiply f * x
0.5fx = 3x2 + 3x + -7

Reorder the terms:
0.5fx = -7 + 3x + 3x2

Solving
0.5fx = -7 + 3x + 3x2

Solving for variable 'f'.

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

Divide each side by '0.5x'.
f = -14x-1 + 6 + 6x

Simplifying
f = -14x-1 + 6 + 6x

Reorder the terms:
f = 6 + -14x-1 + 6x

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