Evaluate
\frac{x_{0}\left(\frac{x_{0}}{2}+0.75\right)}{2}+0.045
Expand
\frac{x_{0}^{2}}{4}+\frac{3x_{0}}{8}+0.045
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0.045-0.5x_{0}\left(-0.75-x_{0}\times 0.5\right)
Multiply -1 and 0.5 to get -0.5.
0.045-0.5x_{0}\left(-0.75-0.5x_{0}\right)
Multiply -1 and 0.5 to get -0.5.
0.045+0.375x_{0}+0.25x_{0}^{2}
Use the distributive property to multiply -0.5x_{0} by -0.75-0.5x_{0}.
0.045-0.5x_{0}\left(-0.75-x_{0}\times 0.5\right)
Multiply -1 and 0.5 to get -0.5.
0.045-0.5x_{0}\left(-0.75-0.5x_{0}\right)
Multiply -1 and 0.5 to get -0.5.
0.045+0.375x_{0}+0.25x_{0}^{2}
Use the distributive property to multiply -0.5x_{0} by -0.75-0.5x_{0}.
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}