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

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


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

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

Reorder the terms:
fx = 3x(-7 + x) + 7(x + -7)
fx = (-7 * 3x + x * 3x) + 7(x + -7)
fx = (-21x + 3x2) + 7(x + -7)

Reorder the terms:
fx = -21x + 3x2 + 7(-7 + x)
fx = -21x + 3x2 + (-7 * 7 + x * 7)
fx = -21x + 3x2 + (-49 + 7x)

Reorder the terms:
fx = -49 + -21x + 7x + 3x2

Combine like terms: -21x + 7x = -14x
fx = -49 + -14x + 3x2

Solving
fx = -49 + -14x + 3x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -49x-1 + -14 + 3x

Simplifying
f = -49x-1 + -14 + 3x

Reorder the terms:
f = -14 + -49x-1 + 3x

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