Solve for a (complex solution)
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&n_{3}=1080\end{matrix}\right.
Solve for n_3 (complex solution)
\left\{\begin{matrix}\\n_{3}=1080\text{, }&\text{unconditionally}\\n_{3}\in \mathrm{C}\text{, }&a=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&n_{3}=1080\end{matrix}\right.
Solve for n_3
\left\{\begin{matrix}\\n_{3}=1080\text{, }&\text{unconditionally}\\n_{3}\in \mathrm{R}\text{, }&a=0\end{matrix}\right.
Share
Copied to clipboard
n_{3}a\pi =1080a\pi
Multiply both sides of the equation by 180.
n_{3}a\pi -1080a\pi =0
Subtract 1080a\pi from both sides.
\left(n_{3}\pi -1080\pi \right)a=0
Combine all terms containing a.
\left(\pi n_{3}-1080\pi \right)a=0
The equation is in standard form.
a=0
Divide 0 by n_{3}\pi -1080\pi .
n_{3}a\pi =1080a\pi
Multiply both sides of the equation by 180.
n_{3}a=1080a
Cancel out \pi on both sides.
an_{3}=1080a
The equation is in standard form.
\frac{an_{3}}{a}=\frac{1080a}{a}
Divide both sides by a.
n_{3}=\frac{1080a}{a}
Dividing by a undoes the multiplication by a.
n_{3}=1080
Divide 1080a by a.
n_{3}a\pi =1080a\pi
Multiply both sides of the equation by 180.
n_{3}a\pi -1080a\pi =0
Subtract 1080a\pi from both sides.
\left(n_{3}\pi -1080\pi \right)a=0
Combine all terms containing a.
\left(\pi n_{3}-1080\pi \right)a=0
The equation is in standard form.
a=0
Divide 0 by n_{3}\pi -1080\pi .
n_{3}a\pi =1080a\pi
Multiply both sides of the equation by 180.
n_{3}a=1080a
Cancel out \pi on both sides.
an_{3}=1080a
The equation is in standard form.
\frac{an_{3}}{a}=\frac{1080a}{a}
Divide both sides by a.
n_{3}=\frac{1080a}{a}
Dividing by a undoes the multiplication by a.
n_{3}=1080
Divide 1080a by a.
Examples
Quadratic equation
{ 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}