f(x)=5(2x-5)(5x+4)

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Solution for f(x)=5(2x-5)(5x+4) equation: 


Simplifying
f(x) = 5(2x + -5)(5x + 4)

Multiply f * x
fx = 5(2x + -5)(5x + 4)

Reorder the terms:
fx = 5(-5 + 2x)(5x + 4)

Reorder the terms:
fx = 5(-5 + 2x)(4 + 5x)

Multiply (-5 + 2x) * (4 + 5x)
fx = 5(-5(4 + 5x) + 2x * (4 + 5x))
fx = 5((4 * -5 + 5x * -5) + 2x * (4 + 5x))
fx = 5((-20 + -25x) + 2x * (4 + 5x))
fx = 5(-20 + -25x + (4 * 2x + 5x * 2x))
fx = 5(-20 + -25x + (8x + 10x2))

Combine like terms: -25x + 8x = -17x
fx = 5(-20 + -17x + 10x2)
fx = (-20 * 5 + -17x * 5 + 10x2 * 5)
fx = (-100 + -85x + 50x2)

Solving
fx = -100 + -85x + 50x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -100x-1 + -85 + 50x

Simplifying
f = -100x-1 + -85 + 50x

Reorder the terms:
f = -85 + -100x-1 + 50x

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