Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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2x^{2}-5x+3+x\left(x+1\right)=\left(3x-1\right)\left(x-2\right)+3x+1
Use the distributive property to multiply 2x-3 by x-1 and combine like terms.
2x^{2}-5x+3+x^{2}+x=\left(3x-1\right)\left(x-2\right)+3x+1
Use the distributive property to multiply x by x+1.
3x^{2}-5x+3+x=\left(3x-1\right)\left(x-2\right)+3x+1
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-4x+3=\left(3x-1\right)\left(x-2\right)+3x+1
Combine -5x and x to get -4x.
3x^{2}-4x+3=3x^{2}-7x+2+3x+1
Use the distributive property to multiply 3x-1 by x-2 and combine like terms.
3x^{2}-4x+3=3x^{2}-4x+2+1
Combine -7x and 3x to get -4x.
3x^{2}-4x+3=3x^{2}-4x+3
Add 2 and 1 to get 3.
3x^{2}-4x+3-3x^{2}=-4x+3
Subtract 3x^{2} from both sides.
-4x+3=-4x+3
Combine 3x^{2} and -3x^{2} to get 0.
-4x+3+4x=3
Add 4x to both sides.
3=3
Combine -4x and 4x to get 0.
\text{true}
Compare 3 and 3.
x\in \mathrm{C}
This is true for any x.
2x^{2}-5x+3+x\left(x+1\right)=\left(3x-1\right)\left(x-2\right)+3x+1
Use the distributive property to multiply 2x-3 by x-1 and combine like terms.
2x^{2}-5x+3+x^{2}+x=\left(3x-1\right)\left(x-2\right)+3x+1
Use the distributive property to multiply x by x+1.
3x^{2}-5x+3+x=\left(3x-1\right)\left(x-2\right)+3x+1
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}-4x+3=\left(3x-1\right)\left(x-2\right)+3x+1
Combine -5x and x to get -4x.
3x^{2}-4x+3=3x^{2}-7x+2+3x+1
Use the distributive property to multiply 3x-1 by x-2 and combine like terms.
3x^{2}-4x+3=3x^{2}-4x+2+1
Combine -7x and 3x to get -4x.
3x^{2}-4x+3=3x^{2}-4x+3
Add 2 and 1 to get 3.
3x^{2}-4x+3-3x^{2}=-4x+3
Subtract 3x^{2} from both sides.
-4x+3=-4x+3
Combine 3x^{2} and -3x^{2} to get 0.
-4x+3+4x=3
Add 4x to both sides.
3=3
Combine -4x and 4x to get 0.
\text{true}
Compare 3 and 3.
x\in \mathrm{R}
This is true for any x.
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y = 3x + 4
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Matrix
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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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