Solve for x
x = \frac{17}{4} = 4\frac{1}{4} = 4.25
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2\sqrt{4x-1}+8-8=16-8
Subtract 8 from both sides of the equation.
2\sqrt{4x-1}=16-8
Subtracting 8 from itself leaves 0.
2\sqrt{4x-1}=8
Subtract 8 from 16.
\frac{2\sqrt{4x-1}}{2}=\frac{8}{2}
Divide both sides by 2.
\sqrt{4x-1}=\frac{8}{2}
Dividing by 2 undoes the multiplication by 2.
\sqrt{4x-1}=4
Divide 8 by 2.
4x-1=16
Square both sides of the equation.
4x-1-\left(-1\right)=16-\left(-1\right)
Add 1 to both sides of the equation.
4x=16-\left(-1\right)
Subtracting -1 from itself leaves 0.
4x=17
Subtract -1 from 16.
\frac{4x}{4}=\frac{17}{4}
Divide both sides by 4.
x=\frac{17}{4}
Dividing by 4 undoes the multiplication by 4.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}