Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{2\left(2y-1\right)}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&y=\frac{1}{2}\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=-\frac{2\left(2y-1\right)}{a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&y=\frac{1}{2}\text{ and }a=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{2\left(2y-1\right)}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&y=\frac{1}{2}\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{2\left(2y-1\right)}{a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&y=\frac{1}{2}\text{ and }a=0\end{matrix}\right.
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ax-2=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
ax=-4y+2
Add 2 to both sides.
xa=2-4y
The equation is in standard form.
\frac{xa}{x}=\frac{2-4y}{x}
Divide both sides by x.
a=\frac{2-4y}{x}
Dividing by x undoes the multiplication by x.
a=\frac{2\left(1-2y\right)}{x}
Divide -4y+2 by x.
ax-2=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
ax=-4y+2
Add 2 to both sides.
ax=2-4y
The equation is in standard form.
\frac{ax}{a}=\frac{2-4y}{a}
Divide both sides by a.
x=\frac{2-4y}{a}
Dividing by a undoes the multiplication by a.
x=\frac{2\left(1-2y\right)}{a}
Divide -4y+2 by a.
ax-2=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
ax=-4y+2
Add 2 to both sides.
xa=2-4y
The equation is in standard form.
\frac{xa}{x}=\frac{2-4y}{x}
Divide both sides by x.
a=\frac{2-4y}{x}
Dividing by x undoes the multiplication by x.
a=\frac{2\left(1-2y\right)}{x}
Divide -4y+2 by x.
ax-2=-4y
Subtract 4y from both sides. Anything subtracted from zero gives its negation.
ax=-4y+2
Add 2 to both sides.
ax=2-4y
The equation is in standard form.
\frac{ax}{a}=\frac{2-4y}{a}
Divide both sides by a.
x=\frac{2-4y}{a}
Dividing by a undoes the multiplication by a.
x=\frac{2\left(1-2y\right)}{a}
Divide -4y+2 by a.
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
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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}