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Solve for A (complex solution)
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Solve for B (complex solution)
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Solve for A
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Solve for B
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Ax^{2}+Bx+C=\left(-f\right)x
Swap sides so that all variable terms are on the left hand side.
Ax^{2}+C=\left(-f\right)x-Bx
Subtract Bx from both sides.
Ax^{2}=\left(-f\right)x-Bx-C
Subtract C from both sides.
Ax^{2}=-Bx-fx-C
Reorder the terms.
x^{2}A=-Bx-fx-C
The equation is in standard form.
\frac{x^{2}A}{x^{2}}=\frac{-Bx-fx-C}{x^{2}}
Divide both sides by x^{2}.
A=\frac{-Bx-fx-C}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
A=-\frac{Bx+fx+C}{x^{2}}
Divide -Bx-fx-C by x^{2}.
Ax^{2}+Bx+C=\left(-f\right)x
Swap sides so that all variable terms are on the left hand side.
Bx+C=\left(-f\right)x-Ax^{2}
Subtract Ax^{2} from both sides.
Bx=\left(-f\right)x-Ax^{2}-C
Subtract C from both sides.
Bx=-Ax^{2}-fx-C
Reorder the terms.
xB=-Ax^{2}-fx-C
The equation is in standard form.
\frac{xB}{x}=\frac{-Ax^{2}-fx-C}{x}
Divide both sides by x.
B=\frac{-Ax^{2}-fx-C}{x}
Dividing by x undoes the multiplication by x.
B=-Ax-f-\frac{C}{x}
Divide -Ax^{2}-fx-C by x.
Ax^{2}+Bx+C=\left(-f\right)x
Swap sides so that all variable terms are on the left hand side.
Ax^{2}+C=\left(-f\right)x-Bx
Subtract Bx from both sides.
Ax^{2}=\left(-f\right)x-Bx-C
Subtract C from both sides.
Ax^{2}=-Bx-fx-C
Reorder the terms.
x^{2}A=-Bx-fx-C
The equation is in standard form.
\frac{x^{2}A}{x^{2}}=\frac{-Bx-fx-C}{x^{2}}
Divide both sides by x^{2}.
A=\frac{-Bx-fx-C}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
A=-\frac{Bx+fx+C}{x^{2}}
Divide -Bx-fx-C by x^{2}.
Ax^{2}+Bx+C=\left(-f\right)x
Swap sides so that all variable terms are on the left hand side.
Bx+C=\left(-f\right)x-Ax^{2}
Subtract Ax^{2} from both sides.
Bx=\left(-f\right)x-Ax^{2}-C
Subtract C from both sides.
Bx=-Ax^{2}-fx-C
Reorder the terms.
xB=-Ax^{2}-fx-C
The equation is in standard form.
\frac{xB}{x}=\frac{-Ax^{2}-fx-C}{x}
Divide both sides by x.
B=\frac{-Ax^{2}-fx-C}{x}
Dividing by x undoes the multiplication by x.
B=-Ax-f-\frac{C}{x}
Divide -Ax^{2}-fx-C by x.