Solve for q
q=-4x-1
Solve for x
x=\frac{-q-1}{4}
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5-4x=q+7-1
Subtract 4 from 9 to get 5.
5-4x=q+6
Subtract 1 from 7 to get 6.
q+6=5-4x
Swap sides so that all variable terms are on the left hand side.
q=5-4x-6
Subtract 6 from both sides.
q=-1-4x
Subtract 6 from 5 to get -1.
5-4x=q+7-1
Subtract 4 from 9 to get 5.
5-4x=q+6
Subtract 1 from 7 to get 6.
-4x=q+6-5
Subtract 5 from both sides.
-4x=q+1
Subtract 5 from 6 to get 1.
\frac{-4x}{-4}=\frac{q+1}{-4}
Divide both sides by -4.
x=\frac{q+1}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{-q-1}{4}
Divide q+1 by -4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}