Solve for B
\left\{\begin{matrix}\\B=10\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&A=0\end{matrix}\right.
Solve for A
\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&B=10\end{matrix}\right.
Share
Copied to clipboard
10A^{2}=ABA
Multiply A and A to get A^{2}.
10A^{2}=A^{2}B
Multiply A and A to get A^{2}.
A^{2}B=10A^{2}
Swap sides so that all variable terms are on the left hand side.
\frac{A^{2}B}{A^{2}}=\frac{10A^{2}}{A^{2}}
Divide both sides by A^{2}.
B=\frac{10A^{2}}{A^{2}}
Dividing by A^{2} undoes the multiplication by A^{2}.
B=10
Divide 10A^{2} by A^{2}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}