Solve for m (complex solution)
m\in \mathrm{C}
Solve for m
m\in \mathrm{R}
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40m^{6}-4=40m^{6}-4
Use the distributive property to multiply 4 by 10m^{6}-1.
40m^{6}-4-40m^{6}=-4
Subtract 40m^{6} from both sides.
-4=-4
Combine 40m^{6} and -40m^{6} to get 0.
\text{true}
Compare -4 and -4.
m\in \mathrm{C}
This is true for any m.
40m^{6}-4=40m^{6}-4
Use the distributive property to multiply 4 by 10m^{6}-1.
40m^{6}-4-40m^{6}=-4
Subtract 40m^{6} from both sides.
-4=-4
Combine 40m^{6} and -40m^{6} to get 0.
\text{true}
Compare -4 and -4.
m\in \mathrm{R}
This is true for any m.
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
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}