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2^{2}x^{2}=52
Expand \left(2x\right)^{2}.
4x^{2}=52
Calculate 2 to the power of 2 and get 4.
x^{2}=\frac{52}{4}
Divide both sides by 4.
x^{2}=13
Divide 52 by 4 to get 13.
x=\sqrt{13} x=-\sqrt{13}
Take the square root of both sides of the equation.