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\frac{4\left(x-2\right)^{2}}{4}=\frac{28}{4}
Divide both sides by 4.
\left(x-2\right)^{2}=\frac{28}{4}
Dividing by 4 undoes the multiplication by 4.
\left(x-2\right)^{2}=7
Divide 28 by 4.
x-2=\sqrt{7} x-2=-\sqrt{7}
Take the square root of both sides of the equation.
x-2-\left(-2\right)=\sqrt{7}-\left(-2\right) x-2-\left(-2\right)=-\sqrt{7}-\left(-2\right)
Add 2 to both sides of the equation.
x=\sqrt{7}-\left(-2\right) x=-\sqrt{7}-\left(-2\right)
Subtracting -2 from itself leaves 0.
x=\sqrt{7}+2
Subtract -2 from \sqrt{7}.
x=2-\sqrt{7}
Subtract -2 from -\sqrt{7}.
x=\sqrt{7}+2 x=2-\sqrt{7}
The equation is now solved.