Solve for x
x = \frac{8}{5} = 1\frac{3}{5} = 1.6
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-\sqrt{5x+1}+3-3=-3
Subtract 3 from both sides of the equation.
-\sqrt{5x+1}=-3
Subtracting 3 from itself leaves 0.
\frac{-\sqrt{5x+1}}{-1}=-\frac{3}{-1}
Divide both sides by -1.
\sqrt{5x+1}=-\frac{3}{-1}
Dividing by -1 undoes the multiplication by -1.
\sqrt{5x+1}=3
Divide -3 by -1.
5x+1=9
Square both sides of the equation.
5x+1-1=9-1
Subtract 1 from both sides of the equation.
5x=9-1
Subtracting 1 from itself leaves 0.
5x=8
Subtract 1 from 9.
\frac{5x}{5}=\frac{8}{5}
Divide both sides by 5.
x=\frac{8}{5}
Dividing by 5 undoes the multiplication by 5.
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}