Solve for x
x=-\frac{165}{656}\approx -0.25152439
Assign x
x≔-\frac{165}{656}
Graph
Share
Copied to clipboard
x=\frac{-\frac{1}{41}-4}{\left(-4\right)^{2}}
Fraction \frac{1}{-41} can be rewritten as -\frac{1}{41} by extracting the negative sign.
x=\frac{-\frac{1}{41}-\frac{164}{41}}{\left(-4\right)^{2}}
Convert 4 to fraction \frac{164}{41}.
x=\frac{\frac{-1-164}{41}}{\left(-4\right)^{2}}
Since -\frac{1}{41} and \frac{164}{41} have the same denominator, subtract them by subtracting their numerators.
x=\frac{-\frac{165}{41}}{\left(-4\right)^{2}}
Subtract 164 from -1 to get -165.
x=\frac{-\frac{165}{41}}{16}
Calculate -4 to the power of 2 and get 16.
x=\frac{-165}{41\times 16}
Express \frac{-\frac{165}{41}}{16} as a single fraction.
x=\frac{-165}{656}
Multiply 41 and 16 to get 656.
x=-\frac{165}{656}
Fraction \frac{-165}{656} can be rewritten as -\frac{165}{656} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}