f(x)=-(x+1)(x-7)

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Solution for f(x)=-(x+1)(x-7) equation: 


Simplifying
f(x) = -1(x + 1)(x + -7)

Multiply f * x
fx = -1(x + 1)(x + -7)

Reorder the terms:
fx = -1(1 + x)(x + -7)

Reorder the terms:
fx = -1(1 + x)(-7 + x)

Multiply (1 + x) * (-7 + x)
fx = -1(1(-7 + x) + x(-7 + x))
fx = -1((-7 * 1 + x * 1) + x(-7 + x))
fx = -1((-7 + 1x) + x(-7 + x))
fx = -1(-7 + 1x + (-7 * x + x * x))
fx = -1(-7 + 1x + (-7x + x2))

Combine like terms: 1x + -7x = -6x
fx = -1(-7 + -6x + x2)
fx = (-7 * -1 + -6x * -1 + x2 * -1)
fx = (7 + 6x + -1x2)

Solving
fx = 7 + 6x + -1x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 7x-1 + 6 + -1x

Simplifying
f = 7x-1 + 6 + -1x

Reorder the terms:
f = 6 + 7x-1 + -1x

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