Solve for b
b=-\frac{x^{2}}{4}-\frac{3x}{4}-m+2
Solve for m
m=-\frac{x^{2}}{4}-\frac{3x}{4}-b+2
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x^{2}+3x-8+4b+4m=0
Combine 2x and x to get 3x.
3x-8+4b+4m=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-8+4b+4m=-x^{2}-3x
Subtract 3x from both sides.
4b+4m=-x^{2}-3x+8
Add 8 to both sides.
4b=-x^{2}-3x+8-4m
Subtract 4m from both sides.
4b=8-4m-3x-x^{2}
The equation is in standard form.
\frac{4b}{4}=\frac{8-4m-3x-x^{2}}{4}
Divide both sides by 4.
b=\frac{8-4m-3x-x^{2}}{4}
Dividing by 4 undoes the multiplication by 4.
b=-\frac{x^{2}}{4}-\frac{3x}{4}-m+2
Divide -x^{2}-3x+8-4m by 4.
x^{2}+3x-8+4b+4m=0
Combine 2x and x to get 3x.
3x-8+4b+4m=-x^{2}
Subtract x^{2} from both sides. Anything subtracted from zero gives its negation.
-8+4b+4m=-x^{2}-3x
Subtract 3x from both sides.
4b+4m=-x^{2}-3x+8
Add 8 to both sides.
4m=-x^{2}-3x+8-4b
Subtract 4b from both sides.
4m=8-4b-3x-x^{2}
The equation is in standard form.
\frac{4m}{4}=\frac{8-4b-3x-x^{2}}{4}
Divide both sides by 4.
m=\frac{8-4b-3x-x^{2}}{4}
Dividing by 4 undoes the multiplication by 4.
m=-\frac{x^{2}}{4}-\frac{3x}{4}-b+2
Divide -x^{2}-3x+8-4b by 4.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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