Solve for x
x=-4
Graph
Share
Copied to clipboard
3\sqrt{-3x+4}+5-5=17-5
Subtract 5 from both sides of the equation.
3\sqrt{-3x+4}=17-5
Subtracting 5 from itself leaves 0.
3\sqrt{-3x+4}=12
Subtract 5 from 17.
\frac{3\sqrt{-3x+4}}{3}=\frac{12}{3}
Divide both sides by 3.
\sqrt{-3x+4}=\frac{12}{3}
Dividing by 3 undoes the multiplication by 3.
\sqrt{-3x+4}=4
Divide 12 by 3.
-3x+4=16
Square both sides of the equation.
-3x+4-4=16-4
Subtract 4 from both sides of the equation.
-3x=16-4
Subtracting 4 from itself leaves 0.
-3x=12
Subtract 4 from 16.
\frac{-3x}{-3}=\frac{12}{-3}
Divide both sides by -3.
x=\frac{12}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-4
Divide 12 by -3.
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}