f(x)=-2(x-7)(x+3)

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Solution for f(x)=-2(x-7)(x+3) equation:


Simplifying
f(x) = -2(x + -7)(x + 3)

Multiply f * x
fx = -2(x + -7)(x + 3)

Reorder the terms:
fx = -2(-7 + x)(x + 3)

Reorder the terms:
fx = -2(-7 + x)(3 + x)

Multiply (-7 + x) * (3 + x)
fx = -2(-7(3 + x) + x(3 + x))
fx = -2((3 * -7 + x * -7) + x(3 + x))
fx = -2((-21 + -7x) + x(3 + x))
fx = -2(-21 + -7x + (3 * x + x * x))
fx = -2(-21 + -7x + (3x + x2))

Combine like terms: -7x + 3x = -4x
fx = -2(-21 + -4x + x2)
fx = (-21 * -2 + -4x * -2 + x2 * -2)
fx = (42 + 8x + -2x2)

Solving
fx = 42 + 8x + -2x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 42x-1 + 8 + -2x

Simplifying
f = 42x-1 + 8 + -2x

Reorder the terms:
f = 8 + 42x-1 + -2x

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