f(x)=-4(x-2)(x-6)

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Solution for f(x)=-4(x-2)(x-6) equation:


Simplifying
f(x) = -4(x + -2)(x + -6)

Multiply f * x
fx = -4(x + -2)(x + -6)

Reorder the terms:
fx = -4(-2 + x)(x + -6)

Reorder the terms:
fx = -4(-2 + x)(-6 + x)

Multiply (-2 + x) * (-6 + x)
fx = -4(-2(-6 + x) + x(-6 + x))
fx = -4((-6 * -2 + x * -2) + x(-6 + x))
fx = -4((12 + -2x) + x(-6 + x))
fx = -4(12 + -2x + (-6 * x + x * x))
fx = -4(12 + -2x + (-6x + x2))

Combine like terms: -2x + -6x = -8x
fx = -4(12 + -8x + x2)
fx = (12 * -4 + -8x * -4 + x2 * -4)
fx = (-48 + 32x + -4x2)

Solving
fx = -48 + 32x + -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 = -48x-1 + 32 + -4x

Simplifying
f = -48x-1 + 32 + -4x

Reorder the terms:
f = 32 + -48x-1 + -4x

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