Solve for x (complex solution)
x=-\frac{4}{a-1}
a\neq -1\text{ and }a\neq 1
Solve for a
a=\frac{x-4}{x}
x\neq 0\text{ and }x\neq 2
Solve for x
x=-\frac{4}{a-1}
|a|\neq 1
Graph
Share
Copied to clipboard
-\left(1-ax\right)+3+\left(x-2\right)\left(-1\right)=0
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of 2-x,x-2.
-1+ax+3+\left(x-2\right)\left(-1\right)=0
To find the opposite of 1-ax, find the opposite of each term.
2+ax+\left(x-2\right)\left(-1\right)=0
Add -1 and 3 to get 2.
2+ax-x+2=0
Use the distributive property to multiply x-2 by -1.
4+ax-x=0
Add 2 and 2 to get 4.
ax-x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
\left(a-1\right)x=-4
Combine all terms containing x.
\frac{\left(a-1\right)x}{a-1}=-\frac{4}{a-1}
Divide both sides by a-1.
x=-\frac{4}{a-1}
Dividing by a-1 undoes the multiplication by a-1.
x=-\frac{4}{a-1}\text{, }x\neq 2
Variable x cannot be equal to 2.
-\left(1-ax\right)+3+\left(x-2\right)\left(-1\right)=0
Multiply both sides of the equation by x-2, the least common multiple of 2-x,x-2.
-1+ax+3+\left(x-2\right)\left(-1\right)=0
To find the opposite of 1-ax, find the opposite of each term.
2+ax+\left(x-2\right)\left(-1\right)=0
Add -1 and 3 to get 2.
2+ax-x+2=0
Use the distributive property to multiply x-2 by -1.
4+ax-x=0
Add 2 and 2 to get 4.
ax-x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
ax=-4+x
Add x to both sides.
xa=x-4
The equation is in standard form.
\frac{xa}{x}=\frac{x-4}{x}
Divide both sides by x.
a=\frac{x-4}{x}
Dividing by x undoes the multiplication by x.
-\left(1-ax\right)+3+\left(x-2\right)\left(-1\right)=0
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of 2-x,x-2.
-1+ax+3+\left(x-2\right)\left(-1\right)=0
To find the opposite of 1-ax, find the opposite of each term.
2+ax+\left(x-2\right)\left(-1\right)=0
Add -1 and 3 to get 2.
2+ax-x+2=0
Use the distributive property to multiply x-2 by -1.
4+ax-x=0
Add 2 and 2 to get 4.
ax-x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
\left(a-1\right)x=-4
Combine all terms containing x.
\frac{\left(a-1\right)x}{a-1}=-\frac{4}{a-1}
Divide both sides by a-1.
x=-\frac{4}{a-1}
Dividing by a-1 undoes the multiplication by a-1.
x=-\frac{4}{a-1}\text{, }x\neq 2
Variable x cannot be equal to 2.
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}