Solve for b (complex solution)
\left\{\begin{matrix}b=\frac{7-3x}{l}\text{, }&l\neq 0\\b\in \mathrm{C}\text{, }&x=\frac{7}{3}\text{ and }l=0\end{matrix}\right.
Solve for l (complex solution)
\left\{\begin{matrix}l=\frac{7-3x}{b}\text{, }&b\neq 0\\l\in \mathrm{C}\text{, }&x=\frac{7}{3}\text{ and }b=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=\frac{7-3x}{l}\text{, }&l\neq 0\\b\in \mathrm{R}\text{, }&x=\frac{7}{3}\text{ and }l=0\end{matrix}\right.
Solve for l
\left\{\begin{matrix}l=\frac{7-3x}{b}\text{, }&b\neq 0\\l\in \mathrm{R}\text{, }&x=\frac{7}{3}\text{ and }b=0\end{matrix}\right.
Graph
Share
Copied to clipboard
-bl=2\left(2x-3\right)-\left(x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
-bl=4x-6-\left(x+1\right)
Use the distributive property to multiply 2 by 2x-3.
-bl=4x-6-x-1
To find the opposite of x+1, find the opposite of each term.
-bl=3x-6-1
Combine 4x and -x to get 3x.
-bl=3x-7
Subtract 1 from -6 to get -7.
\left(-l\right)b=3x-7
The equation is in standard form.
\frac{\left(-l\right)b}{-l}=\frac{3x-7}{-l}
Divide both sides by -l.
b=\frac{3x-7}{-l}
Dividing by -l undoes the multiplication by -l.
b=\frac{7-3x}{l}
Divide -7+3x by -l.
-bl=2\left(2x-3\right)-\left(x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
-bl=4x-6-\left(x+1\right)
Use the distributive property to multiply 2 by 2x-3.
-bl=4x-6-x-1
To find the opposite of x+1, find the opposite of each term.
-bl=3x-6-1
Combine 4x and -x to get 3x.
-bl=3x-7
Subtract 1 from -6 to get -7.
\left(-b\right)l=3x-7
The equation is in standard form.
\frac{\left(-b\right)l}{-b}=\frac{3x-7}{-b}
Divide both sides by -b.
l=\frac{3x-7}{-b}
Dividing by -b undoes the multiplication by -b.
l=\frac{7-3x}{b}
Divide -7+3x by -b.
-bl=2\left(2x-3\right)-\left(x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
-bl=4x-6-\left(x+1\right)
Use the distributive property to multiply 2 by 2x-3.
-bl=4x-6-x-1
To find the opposite of x+1, find the opposite of each term.
-bl=3x-6-1
Combine 4x and -x to get 3x.
-bl=3x-7
Subtract 1 from -6 to get -7.
\left(-l\right)b=3x-7
The equation is in standard form.
\frac{\left(-l\right)b}{-l}=\frac{3x-7}{-l}
Divide both sides by -l.
b=\frac{3x-7}{-l}
Dividing by -l undoes the multiplication by -l.
b=\frac{7-3x}{l}
Divide 3x-7 by -l.
-bl=2\left(2x-3\right)-\left(x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 4,2.
-bl=4x-6-\left(x+1\right)
Use the distributive property to multiply 2 by 2x-3.
-bl=4x-6-x-1
To find the opposite of x+1, find the opposite of each term.
-bl=3x-6-1
Combine 4x and -x to get 3x.
-bl=3x-7
Subtract 1 from -6 to get -7.
\left(-b\right)l=3x-7
The equation is in standard form.
\frac{\left(-b\right)l}{-b}=\frac{3x-7}{-b}
Divide both sides by -b.
l=\frac{3x-7}{-b}
Dividing by -b undoes the multiplication by -b.
l=\frac{7-3x}{b}
Divide 3x-7 by -b.
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}