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

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


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

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

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

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

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

Multiply (-5 + x) * (5 + x)
fx = (-5(5 + x) + x(5 + x))(-4 + x)
fx = ((5 * -5 + x * -5) + x(5 + x))(-4 + x)
fx = ((-25 + -5x) + x(5 + x))(-4 + x)
fx = (-25 + -5x + (5 * x + x * x))(-4 + x)
fx = (-25 + -5x + (5x + x2))(-4 + x)

Combine like terms: -5x + 5x = 0
fx = (-25 + 0 + x2)(-4 + x)
fx = (-25 + x2)(-4 + x)

Multiply (-25 + x2) * (-4 + x)
fx = (-25(-4 + x) + x2(-4 + x))
fx = ((-4 * -25 + x * -25) + x2(-4 + x))
fx = ((100 + -25x) + x2(-4 + x))
fx = (100 + -25x + (-4 * x2 + x * x2))
fx = (100 + -25x + (-4x2 + x3))
fx = (100 + -25x + -4x2 + x3)

Solving
fx = 100 + -25x + -4x2 + x3

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 + -25 + -4x + x2

Simplifying
f = 100x-1 + -25 + -4x + x2

Reorder the terms:
f = -25 + 100x-1 + -4x + x2

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