f(x)=-4(x+7)(x-2)

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Solution for f(x)=-4(x+7)(x-2) equation: 


Simplifying
f(x) = -4(x + 7)(x + -2)

Multiply f * x
fx = -4(x + 7)(x + -2)

Reorder the terms:
fx = -4(7 + x)(x + -2)

Reorder the terms:
fx = -4(7 + x)(-2 + x)

Multiply (7 + x) * (-2 + x)
fx = -4(7(-2 + x) + x(-2 + x))
fx = -4((-2 * 7 + x * 7) + x(-2 + x))
fx = -4((-14 + 7x) + x(-2 + x))
fx = -4(-14 + 7x + (-2 * x + x * x))
fx = -4(-14 + 7x + (-2x + x2))

Combine like terms: 7x + -2x = 5x
fx = -4(-14 + 5x + x2)
fx = (-14 * -4 + 5x * -4 + x2 * -4)
fx = (56 + -20x + -4x2)

Solving
fx = 56 + -20x + -4x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 56x-1 + -20 + -4x

Simplifying
f = 56x-1 + -20 + -4x

Reorder the terms:
f = -20 + 56x-1 + -4x

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