Solve for m (complex solution)
m\in \mathrm{C}
Solve for m
m\in \mathrm{R}
Share
Copied to clipboard
\left(m+3\right)^{2}=\left(m+3\right)^{2}
Multiply m+3 and m+3 to get \left(m+3\right)^{2}.
m^{2}+6m+9=\left(m+3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+3\right)^{2}.
m^{2}+6m+9=m^{2}+6m+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+3\right)^{2}.
m^{2}+6m+9-m^{2}=6m+9
Subtract m^{2} from both sides.
6m+9=6m+9
Combine m^{2} and -m^{2} to get 0.
6m+9-6m=9
Subtract 6m from both sides.
9=9
Combine 6m and -6m to get 0.
\text{true}
Compare 9 and 9.
m\in \mathrm{C}
This is true for any m.
\left(m+3\right)^{2}=\left(m+3\right)^{2}
Multiply m+3 and m+3 to get \left(m+3\right)^{2}.
m^{2}+6m+9=\left(m+3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+3\right)^{2}.
m^{2}+6m+9=m^{2}+6m+9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(m+3\right)^{2}.
m^{2}+6m+9-m^{2}=6m+9
Subtract m^{2} from both sides.
6m+9=6m+9
Combine m^{2} and -m^{2} to get 0.
6m+9-6m=9
Subtract 6m from both sides.
9=9
Combine 6m and -6m to get 0.
\text{true}
Compare 9 and 9.
m\in \mathrm{R}
This is true for any m.
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}