Solve for x
x=4
x=0
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x^{2}=\left(\sqrt{4x}\right)^{2}
Square both sides of the equation.
x^{2}=4x
Calculate \sqrt{4x} to the power of 2 and get 4x.
x^{2}-4x=0
Subtract 4x from both sides.
x\left(x-4\right)=0
Factor out x.
x=0 x=4
To find equation solutions, solve x=0 and x-4=0.
0=\sqrt{4\times 0}
Substitute 0 for x in the equation x=\sqrt{4x}.
0=0
Simplify. The value x=0 satisfies the equation.
4=\sqrt{4\times 4}
Substitute 4 for x in the equation x=\sqrt{4x}.
4=4
Simplify. The value x=4 satisfies the equation.
x=0 x=4
List all solutions of x=\sqrt{4x}.
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