Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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6x+12=2\left(3x+3\right)+6
Use the distributive property to multiply 6 by x+2.
6x+12=6x+6+6
Use the distributive property to multiply 2 by 3x+3.
6x+12=6x+12
Add 6 and 6 to get 12.
6x+12-6x=12
Subtract 6x from both sides.
12=12
Combine 6x and -6x to get 0.
\text{true}
Compare 12 and 12.
x\in \mathrm{C}
This is true for any x.
6x+12=2\left(3x+3\right)+6
Use the distributive property to multiply 6 by x+2.
6x+12=6x+6+6
Use the distributive property to multiply 2 by 3x+3.
6x+12=6x+12
Add 6 and 6 to get 12.
6x+12-6x=12
Subtract 6x from both sides.
12=12
Combine 6x and -6x to get 0.
\text{true}
Compare 12 and 12.
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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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}