Solve for a
a=x_{1}-dn
n\neq 0
Solve for d
d=-\frac{a-x_{1}}{n}
n\neq 0
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dn=x_{1}-a
Multiply both sides of the equation by n.
x_{1}-a=dn
Swap sides so that all variable terms are on the left hand side.
-a=dn-x_{1}
Subtract x_{1} from both sides.
\frac{-a}{-1}=\frac{dn-x_{1}}{-1}
Divide both sides by -1.
a=\frac{dn-x_{1}}{-1}
Dividing by -1 undoes the multiplication by -1.
a=x_{1}-dn
Divide dn-x_{1} by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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
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