Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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1800+\left(x-30\right)\times 20=x\times 20+40\times 30
Multiply 30 and 60 to get 1800.
1800+20x-600=x\times 20+40\times 30
Use the distributive property to multiply x-30 by 20.
1200+20x=x\times 20+40\times 30
Subtract 600 from 1800 to get 1200.
1200+20x=x\times 20+1200
Multiply 40 and 30 to get 1200.
1200+20x-x\times 20=1200
Subtract x\times 20 from both sides.
1200=1200
Combine 20x and -x\times 20 to get 0.
\text{true}
Compare 1200 and 1200.
x\in \mathrm{C}
This is true for any x.
1800+\left(x-30\right)\times 20=x\times 20+40\times 30
Multiply 30 and 60 to get 1800.
1800+20x-600=x\times 20+40\times 30
Use the distributive property to multiply x-30 by 20.
1200+20x=x\times 20+40\times 30
Subtract 600 from 1800 to get 1200.
1200+20x=x\times 20+1200
Multiply 40 and 30 to get 1200.
1200+20x-x\times 20=1200
Subtract x\times 20 from both sides.
1200=1200
Combine 20x and -x\times 20 to get 0.
\text{true}
Compare 1200 and 1200.
x\in \mathrm{R}
This is true for any x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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