Solve for b (complex solution)
\left\{\begin{matrix}\\b=-\frac{x}{4}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}\\b=-\frac{x}{4}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
x=-4b
x=0
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4bx=-x^{2}
Swap sides so that all variable terms are on the left hand side.
4xb=-x^{2}
The equation is in standard form.
\frac{4xb}{4x}=-\frac{x^{2}}{4x}
Divide both sides by 4x.
b=-\frac{x^{2}}{4x}
Dividing by 4x undoes the multiplication by 4x.
b=-\frac{x}{4}
Divide -x^{2} by 4x.
4bx=-x^{2}
Swap sides so that all variable terms are on the left hand side.
4xb=-x^{2}
The equation is in standard form.
\frac{4xb}{4x}=-\frac{x^{2}}{4x}
Divide both sides by 4x.
b=-\frac{x^{2}}{4x}
Dividing by 4x undoes the multiplication by 4x.
b=-\frac{x}{4}
Divide -x^{2} by 4x.
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
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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}