Solve for x
x=-\frac{p^{2}}{6}
Solve for p (complex solution)
p=-i\sqrt{6x}
p=i\sqrt{6x}
Solve for p
p=\sqrt{-6x}
p=-\sqrt{-6x}\text{, }x\leq 0
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4x+p^{2}+2x=0
Add 2x to both sides.
6x+p^{2}=0
Combine 4x and 2x to get 6x.
6x=-p^{2}
Subtract p^{2} from both sides. Anything subtracted from zero gives its negation.
\frac{6x}{6}=-\frac{p^{2}}{6}
Divide both sides by 6.
x=-\frac{p^{2}}{6}
Dividing by 6 undoes the multiplication by 6.
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}