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

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


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

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

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

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

Multiply (1 + 5x) * (-2 + 5x)
fx = (1(-2 + 5x) + 5x * (-2 + 5x))
fx = ((-2 * 1 + 5x * 1) + 5x * (-2 + 5x))
fx = ((-2 + 5x) + 5x * (-2 + 5x))
fx = (-2 + 5x + (-2 * 5x + 5x * 5x))
fx = (-2 + 5x + (-10x + 25x2))

Combine like terms: 5x + -10x = -5x
fx = (-2 + -5x + 25x2)

Solving
fx = -2 + -5x + 25x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2x-1 + -5 + 25x

Simplifying
f = -2x-1 + -5 + 25x

Reorder the terms:
f = -5 + -2x-1 + 25x

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