Solve for x
x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333
Graph
Quiz
Linear Equation
5 problems similar to:
\frac { 05 x ^ { 3 } - 6 x + 8 } { x ^ { 3 } - x ^ { 2 } } = 0
Share
Copied to clipboard
0\times 5x^{3}-6x+8=0
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)x^{2}.
0x^{3}-6x+8=0
Multiply 0 and 5 to get 0.
0-6x+8=0
Anything times zero gives zero.
8-6x=0
Add 0 and 8 to get 8.
-6x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-8}{-6}
Divide both sides by -6.
x=\frac{4}{3}
Reduce the fraction \frac{-8}{-6} to lowest terms by extracting and canceling out -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}