Solve for x
x=-2
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\frac{1}{4}\sqrt{-2x+12}-1-\left(-1\right)=-\left(-1\right)
Add 1 to both sides of the equation.
\frac{1}{4}\sqrt{-2x+12}=-\left(-1\right)
Subtracting -1 from itself leaves 0.
\frac{1}{4}\sqrt{-2x+12}=1
Subtract -1 from 0.
\frac{\frac{1}{4}\sqrt{-2x+12}}{\frac{1}{4}}=\frac{1}{\frac{1}{4}}
Multiply both sides by 4.
\sqrt{-2x+12}=\frac{1}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
\sqrt{-2x+12}=4
Divide 1 by \frac{1}{4} by multiplying 1 by the reciprocal of \frac{1}{4}.
-2x+12=16
Square both sides of the equation.
-2x+12-12=16-12
Subtract 12 from both sides of the equation.
-2x=16-12
Subtracting 12 from itself leaves 0.
-2x=4
Subtract 12 from 16.
\frac{-2x}{-2}=\frac{4}{-2}
Divide both sides by -2.
x=\frac{4}{-2}
Dividing by -2 undoes the multiplication by -2.
x=-2
Divide 4 by -2.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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