Evaluate
x = -\frac{1}{6} = -0.16666666666666666
Expand
x = -\frac{1}{6} = -0.16666666666666666
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\frac{1}{2}\times 2x+\frac{1}{2}\left(-\frac{1}{3}\right)
Use the distributive property to multiply \frac{1}{2} by 2x-\frac{1}{3}.
x+\frac{1}{2}\left(-\frac{1}{3}\right)
Cancel out 2 and 2.
x+\frac{1\left(-1\right)}{2\times 3}
Multiply \frac{1}{2} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
x+\frac{-1}{6}
Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 3}.
x-\frac{1}{6}
Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.
\frac{1}{2}\times 2x+\frac{1}{2}\left(-\frac{1}{3}\right)
Use the distributive property to multiply \frac{1}{2} by 2x-\frac{1}{3}.
x+\frac{1}{2}\left(-\frac{1}{3}\right)
Cancel out 2 and 2.
x+\frac{1\left(-1\right)}{2\times 3}
Multiply \frac{1}{2} times -\frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
x+\frac{-1}{6}
Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 3}.
x-\frac{1}{6}
Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.
Examples
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}