f(x)=3x^2-(k-1)x+12

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Solution for f(x)=3x^2-(k-1)x+12 equation: 


Simplifying
f(x) = 3x2 + -1(k + -1) * x + 12

Multiply f * x
fx = 3x2 + -1(k + -1) * x + 12

Reorder the terms:
fx = 3x2 + -1(-1 + k) * x + 12

Reorder the terms for easier multiplication:
fx = 3x2 + -1x(-1 + k) + 12
fx = 3x2 + (-1 * -1x + k * -1x) + 12

Reorder the terms:
fx = 3x2 + (-1kx + 1x) + 12
fx = 3x2 + (-1kx + 1x) + 12

Reorder the terms:
fx = 12 + -1kx + 1x + 3x2

Solving
fx = 12 + -1kx + 1x + 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 = 12x-1 + -1k + 1 + 3x

Simplifying
f = 12x-1 + -1k + 1 + 3x

Reorder the terms:
f = 1 + -1k + 12x-1 + 3x

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