Solve 0=-1/43200x^2+3

$$0=- \frac{ 1 }{ 43200 } { x }^{ 2 } +3$$

Solve for x

$$x=360$$

$$x=-360$$

Steps by Finding Square Root

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{43200}x^{2}+3=0$$

Subtract 3 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{43200}x^{2}=-3$$

Multiply both sides by -43200, the reciprocal of -\frac{1}{43200}.

$$x^{2}=-3\left(-43200\right)$$

Multiply -3 and -43200 to get 129600.

$$x^{2}=129600$$

Take the square root of both sides of the equation.

$$x=360 x=-360$$

Steps Using the Quadratic Formula

Swap sides so that all variable terms are on the left hand side.

$$-\frac{1}{43200}x^{2}+3=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute -\frac{1}{43200} for a, 0 for b, and 3 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{43200}\right)\times 3}}{2\left(-\frac{1}{43200}\right)}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{43200}\right)\times 3}}{2\left(-\frac{1}{43200}\right)}$$

Multiply -4 times -\frac{1}{43200}.

$$x=\frac{0±\sqrt{\frac{1}{10800}\times 3}}{2\left(-\frac{1}{43200}\right)}$$

Multiply \frac{1}{10800} times 3.

$$x=\frac{0±\sqrt{\frac{1}{3600}}}{2\left(-\frac{1}{43200}\right)}$$

Take the square root of \frac{1}{3600}.

$$x=\frac{0±\frac{1}{60}}{2\left(-\frac{1}{43200}\right)}$$

Multiply 2 times -\frac{1}{43200}.

$$x=\frac{0±\frac{1}{60}}{-\frac{1}{21600}}$$

Now solve the equation x=\frac{0±\frac{1}{60}}{-\frac{1}{21600}} when ± is plus.

$$x=-360$$

Now solve the equation x=\frac{0±\frac{1}{60}}{-\frac{1}{21600}} when ± is minus.

$$x=360$$

The equation is now solved.

$$x=-360 x=360$$