Solve for x
x=0
x=36
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x=6\sqrt{x}
Subtract -x from both sides of the equation.
x^{2}=\left(6\sqrt{x}\right)^{2}
Square both sides of the equation.
x^{2}=6^{2}\left(\sqrt{x}\right)^{2}
Expand \left(6\sqrt{x}\right)^{2}.
x^{2}=36\left(\sqrt{x}\right)^{2}
Calculate 6 to the power of 2 and get 36.
x^{2}=36x
Calculate \sqrt{x} to the power of 2 and get x.
x^{2}-36x=0
Subtract 36x from both sides.
x\left(x-36\right)=0
Factor out x.
x=0 x=36
To find equation solutions, solve x=0 and x-36=0.
0=6\sqrt{0}-0
Substitute 0 for x in the equation 0=6\sqrt{x}-x.
0=0
Simplify. The value x=0 satisfies the equation.
0=6\sqrt{36}-36
Substitute 36 for x in the equation 0=6\sqrt{x}-x.
0=0
Simplify. The value x=36 satisfies the equation.
x=0 x=36
List all solutions of x=6\sqrt{x}.
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