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

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


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

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

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

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

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

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

Solving
fx = -21 + 4x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -21x-1 + 4 + x

Simplifying
f = -21x-1 + 4 + x

Reorder the terms:
f = 4 + -21x-1 + x

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