Solve for x
x=-\frac{7}{8}=-0.875
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-6x+10\left(-\frac{1}{8}\right)-4=0
Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.
-6x+\frac{10\left(-1\right)}{8}-4=0
Express 10\left(-\frac{1}{8}\right) as a single fraction.
-6x+\frac{-10}{8}-4=0
Multiply 10 and -1 to get -10.
-6x-\frac{5}{4}-4=0
Reduce the fraction \frac{-10}{8} to lowest terms by extracting and canceling out 2.
-6x-\frac{5}{4}-\frac{16}{4}=0
Convert 4 to fraction \frac{16}{4}.
-6x+\frac{-5-16}{4}=0
Since -\frac{5}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.
-6x-\frac{21}{4}=0
Subtract 16 from -5 to get -21.
-6x=\frac{21}{4}
Add \frac{21}{4} to both sides. Anything plus zero gives itself.
x=\frac{\frac{21}{4}}{-6}
Divide both sides by -6.
x=\frac{21}{4\left(-6\right)}
Express \frac{\frac{21}{4}}{-6} as a single fraction.
x=\frac{21}{-24}
Multiply 4 and -6 to get -24.
x=-\frac{7}{8}
Reduce the fraction \frac{21}{-24} to lowest terms by extracting and canceling out 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}