Solve for x
x=-\frac{1}{2}=-0.5
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1+3x=\frac{2}{-4}
Divide both sides by -4.
1+3x=-\frac{1}{2}
Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.
3x=-\frac{1}{2}-1
Subtract 1 from both sides.
3x=-\frac{1}{2}-\frac{2}{2}
Convert 1 to fraction \frac{2}{2}.
3x=\frac{-1-2}{2}
Since -\frac{1}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.
3x=-\frac{3}{2}
Subtract 2 from -1 to get -3.
x=\frac{-\frac{3}{2}}{3}
Divide both sides by 3.
x=\frac{-3}{2\times 3}
Express \frac{-\frac{3}{2}}{3} as a single fraction.
x=\frac{-3}{6}
Multiply 2 and 3 to get 6.
x=-\frac{1}{2}
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.
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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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699 * 533
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}