f(x)=2x(x+3)-2x^2-6x+5

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Solution for f(x)=2x(x+3)-2x^2-6x+5 equation: 


Simplifying
f(x) = 2x(x + 3) + -2x2 + -6x + 5

Multiply f * x
fx = 2x(x + 3) + -2x2 + -6x + 5

Reorder the terms:
fx = 2x(3 + x) + -2x2 + -6x + 5
fx = (3 * 2x + x * 2x) + -2x2 + -6x + 5
fx = (6x + 2x2) + -2x2 + -6x + 5

Reorder the terms:
fx = 5 + 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
fx = 5 + 0 + 2x2 + -2x2
fx = 5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
fx = 5 + 0
fx = 5

Solving
fx = 5

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 5x-1

Simplifying
f = 5x-1

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