F(x+3)=x^2+kx-21

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Solution for F(x+3)=x^2+kx-21 equation: 


Simplifying
F(x + 3) = x2 + kx + -21

Reorder the terms:
F(3 + x) = x2 + kx + -21
(3 * F + x * F) = x2 + kx + -21
(3F + xF) = x2 + kx + -21

Reorder the terms:
3F + xF = -21 + kx + x2

Solving
3F + xF = -21 + kx + x2

Solving for variable 'F'.

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

Reorder the terms:
21 + 3F + -1kx + xF + -1x2 = -21 + kx + x2 + 21 + -1kx + -1x2

Reorder the terms:
21 + 3F + -1kx + xF + -1x2 = -21 + 21 + kx + -1kx + x2 + -1x2

Combine like terms: -21 + 21 = 0
21 + 3F + -1kx + xF + -1x2 = 0 + kx + -1kx + x2 + -1x2
21 + 3F + -1kx + xF + -1x2 = kx + -1kx + x2 + -1x2

Combine like terms: kx + -1kx = 0
21 + 3F + -1kx + xF + -1x2 = 0 + x2 + -1x2
21 + 3F + -1kx + xF + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
21 + 3F + -1kx + xF + -1x2 = 0

The solution to this equation could not be determined.

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