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Solve for a (complex solution)
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Solve for a
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Solve for x (complex solution)
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Solve for x
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y=x^{2}+ax-3x+a-4
Use the distributive property to multiply a-3 by x.
x^{2}+ax-3x+a-4=y
Swap sides so that all variable terms are on the left hand side.
ax-3x+a-4=y-x^{2}
Subtract x^{2} from both sides.
ax+a-4=y-x^{2}+3x
Add 3x to both sides.
ax+a=y-x^{2}+3x+4
Add 4 to both sides.
\left(x+1\right)a=y-x^{2}+3x+4
Combine all terms containing a.
\left(x+1\right)a=4+y+3x-x^{2}
The equation is in standard form.
\frac{\left(x+1\right)a}{x+1}=\frac{4+y+3x-x^{2}}{x+1}
Divide both sides by x+1.
a=\frac{4+y+3x-x^{2}}{x+1}
Dividing by x+1 undoes the multiplication by x+1.
y=x^{2}+ax-3x+a-4
Use the distributive property to multiply a-3 by x.
x^{2}+ax-3x+a-4=y
Swap sides so that all variable terms are on the left hand side.
ax-3x+a-4=y-x^{2}
Subtract x^{2} from both sides.
ax+a-4=y-x^{2}+3x
Add 3x to both sides.
ax+a=y-x^{2}+3x+4
Add 4 to both sides.
\left(x+1\right)a=y-x^{2}+3x+4
Combine all terms containing a.
\left(x+1\right)a=4+y+3x-x^{2}
The equation is in standard form.
\frac{\left(x+1\right)a}{x+1}=\frac{4+y+3x-x^{2}}{x+1}
Divide both sides by x+1.
a=\frac{4+y+3x-x^{2}}{x+1}
Dividing by x+1 undoes the multiplication by x+1.