Solve for D
D=x\left(x+1\right)
Solve for x (complex solution)
x=\frac{-\sqrt{4D+1}-1}{2}
x=\frac{\sqrt{4D+1}-1}{2}
Solve for x
x=\frac{-\sqrt{4D+1}-1}{2}
x=\frac{\sqrt{4D+1}-1}{2}\text{, }D\geq -\frac{1}{4}
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D=8x^{2}-7x-\left(7x-8\right)x
Use the distributive property to multiply x by 8x-7.
D=8x^{2}-7x-\left(7x^{2}-8x\right)
Use the distributive property to multiply 7x-8 by x.
D=8x^{2}-7x-7x^{2}+8x
To find the opposite of 7x^{2}-8x, find the opposite of each term.
D=x^{2}-7x+8x
Combine 8x^{2} and -7x^{2} to get x^{2}.
D=x^{2}+x
Combine -7x and 8x to get x.
Examples
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{ 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}