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x^{2}=42-36
Subtract 36 from both sides.
x^{2}=6
Subtract 36 from 42 to get 6.
x=\sqrt{6} x=-\sqrt{6}
Take the square root of both sides of the equation.
x^{2}+36-42=0
Subtract 42 from both sides.
x^{2}-6=0
Subtract 42 from 36 to get -6.
x=\frac{0±\sqrt{0^{2}-4\left(-6\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -6 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-6\right)}}{2}
Square 0.
x=\frac{0±\sqrt{24}}{2}
Multiply -4 times -6.
x=\frac{0±2\sqrt{6}}{2}
Take the square root of 24.
x=\sqrt{6}
Now solve the equation x=\frac{0±2\sqrt{6}}{2} when ± is plus.
x=-\sqrt{6}
Now solve the equation x=\frac{0±2\sqrt{6}}{2} when ± is minus.
x=\sqrt{6} x=-\sqrt{6}
The equation is now solved.