Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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2x^{2}-21x+27=2x^{2}-21x+27
Use the distributive property to multiply 2x-3 by x-9 and combine like terms.
2x^{2}-21x+27-2x^{2}=-21x+27
Subtract 2x^{2} from both sides.
-21x+27=-21x+27
Combine 2x^{2} and -2x^{2} to get 0.
-21x+27+21x=27
Add 21x to both sides.
27=27
Combine -21x and 21x to get 0.
\text{true}
Compare 27 and 27.
x\in \mathrm{C}
This is true for any x.
2x^{2}-21x+27=2x^{2}-21x+27
Use the distributive property to multiply 2x-3 by x-9 and combine like terms.
2x^{2}-21x+27-2x^{2}=-21x+27
Subtract 2x^{2} from both sides.
-21x+27=-21x+27
Combine 2x^{2} and -2x^{2} to get 0.
-21x+27+21x=27
Add 21x to both sides.
27=27
Combine -21x and 21x to get 0.
\text{true}
Compare 27 and 27.
x\in \mathrm{R}
This is true for any x.
Examples
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Matrix
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Simultaneous equation
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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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