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3x^{2}=50
Multiply x and x to get x^{2}.
x^{2}=\frac{50}{3}
Divide both sides by 3.
x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}
Take the square root of both sides of the equation.
3x^{2}=50
Multiply x and x to get x^{2}.
3x^{2}-50=0
Subtract 50 from both sides.
x=\frac{0±\sqrt{0^{2}-4\times 3\left(-50\right)}}{2\times 3}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 3 for a, 0 for b, and -50 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\times 3\left(-50\right)}}{2\times 3}
Square 0.
x=\frac{0±\sqrt{-12\left(-50\right)}}{2\times 3}
Multiply -4 times 3.
x=\frac{0±\sqrt{600}}{2\times 3}
Multiply -12 times -50.
x=\frac{0±10\sqrt{6}}{2\times 3}
Take the square root of 600.
x=\frac{0±10\sqrt{6}}{6}
Multiply 2 times 3.
x=\frac{5\sqrt{6}}{3}
Now solve the equation x=\frac{0±10\sqrt{6}}{6} when ± is plus.
x=-\frac{5\sqrt{6}}{3}
Now solve the equation x=\frac{0±10\sqrt{6}}{6} when ± is minus.
x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}
The equation is now solved.