Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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6x-2=4x+4\left(-\frac{1}{2}\right)+2x
Use the distributive property to multiply 4 by x-\frac{1}{2}.
6x-2=4x+\frac{4\left(-1\right)}{2}+2x
Express 4\left(-\frac{1}{2}\right) as a single fraction.
6x-2=4x+\frac{-4}{2}+2x
Multiply 4 and -1 to get -4.
6x-2=4x-2+2x
Divide -4 by 2 to get -2.
6x-2=6x-2
Combine 4x and 2x to get 6x.
6x-2-6x=-2
Subtract 6x from both sides.
-2=-2
Combine 6x and -6x to get 0.
\text{true}
Compare -2 and -2.
x\in \mathrm{C}
This is true for any x.
6x-2=4x+4\left(-\frac{1}{2}\right)+2x
Use the distributive property to multiply 4 by x-\frac{1}{2}.
6x-2=4x+\frac{4\left(-1\right)}{2}+2x
Express 4\left(-\frac{1}{2}\right) as a single fraction.
6x-2=4x+\frac{-4}{2}+2x
Multiply 4 and -1 to get -4.
6x-2=4x-2+2x
Divide -4 by 2 to get -2.
6x-2=6x-2
Combine 4x and 2x to get 6x.
6x-2-6x=-2
Subtract 6x from both sides.
-2=-2
Combine 6x and -6x to get 0.
\text{true}
Compare -2 and -2.
x\in \mathrm{R}
This is true for any x.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}