f(x)=(x-5)(2x-1)

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Solution for f(x)=(x-5)(2x-1) equation: 


Simplifying
f(x) = (x + -5)(2x + -1)

Multiply f * x
fx = (x + -5)(2x + -1)

Reorder the terms:
fx = (-5 + x)(2x + -1)

Reorder the terms:
fx = (-5 + x)(-1 + 2x)

Multiply (-5 + x) * (-1 + 2x)
fx = (-5(-1 + 2x) + x(-1 + 2x))
fx = ((-1 * -5 + 2x * -5) + x(-1 + 2x))
fx = ((5 + -10x) + x(-1 + 2x))
fx = (5 + -10x + (-1 * x + 2x * x))
fx = (5 + -10x + (-1x + 2x2))

Combine like terms: -10x + -1x = -11x
fx = (5 + -11x + 2x2)

Solving
fx = 5 + -11x + 2x2

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 + -11 + 2x

Simplifying
f = 5x-1 + -11 + 2x

Reorder the terms:
f = -11 + 5x-1 + 2x

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