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

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

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

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

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

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

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

Combine like terms: -1x + -10x = -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