Solve for y (complex solution)
y\in \mathrm{C}
Solve for y
y\in \mathrm{R}
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32y^{10}-24=32y^{10}-24
Use the distributive property to multiply 8 by 4y^{10}-3.
32y^{10}-24-32y^{10}=-24
Subtract 32y^{10} from both sides.
-24=-24
Combine 32y^{10} and -32y^{10} to get 0.
\text{true}
Compare -24 and -24.
y\in \mathrm{C}
This is true for any y.
32y^{10}-24=32y^{10}-24
Use the distributive property to multiply 8 by 4y^{10}-3.
32y^{10}-24-32y^{10}=-24
Subtract 32y^{10} from both sides.
-24=-24
Combine 32y^{10} and -32y^{10} to get 0.
\text{true}
Compare -24 and -24.
y\in \mathrm{R}
This is true for any y.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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