Solve for x
x=25
x=0
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x^{2}=\left(5\sqrt{x}\right)^{2}
Square both sides of the equation.
x^{2}=5^{2}\left(\sqrt{x}\right)^{2}
Expand \left(5\sqrt{x}\right)^{2}.
x^{2}=25\left(\sqrt{x}\right)^{2}
Calculate 5 to the power of 2 and get 25.
x^{2}=25x
Calculate \sqrt{x} to the power of 2 and get x.
x^{2}-25x=0
Subtract 25x from both sides.
x\left(x-25\right)=0
Factor out x.
x=0 x=25
To find equation solutions, solve x=0 and x-25=0.
0=5\sqrt{0}
Substitute 0 for x in the equation x=5\sqrt{x}.
0=0
Simplify. The value x=0 satisfies the equation.
25=5\sqrt{25}
Substitute 25 for x in the equation x=5\sqrt{x}.
25=25
Simplify. The value x=25 satisfies the equation.
x=0 x=25
List all solutions of x=5\sqrt{x}.
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