Solve 2560x*1080x=295969535

$$2560x \times 1080x=295969535$$

Solve for x

$$x = \frac{\sqrt{887908605}}{2880} \approx 10.346456703$$

$$x = -\frac{\sqrt{887908605}}{2880} \approx -10.346456703$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$2560x^{2}\times 1080=295969535$$

Multiply 2560 and 1080 to get 2764800.

$$2764800x^{2}=295969535$$

Divide both sides by 2764800.

$$x^{2}=\frac{295969535}{2764800}$$

Reduce the fraction \frac{295969535}{2764800} to lowest terms by extracting and canceling out 5.

$$x^{2}=\frac{59193907}{552960}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{887908605}}{2880} x=-\frac{\sqrt{887908605}}{2880}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$2560x^{2}\times 1080=295969535$$

Multiply 2560 and 1080 to get 2764800.

$$2764800x^{2}=295969535$$

Subtract 295969535 from both sides.

$$2764800x^{2}-295969535=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2764800 for a, 0 for b, and -295969535 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2764800\left(-295969535\right)}}{2\times 2764800}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2764800\left(-295969535\right)}}{2\times 2764800}$$

Multiply -4 times 2764800.

$$x=\frac{0±\sqrt{-11059200\left(-295969535\right)}}{2\times 2764800}$$

Multiply -11059200 times -295969535.

$$x=\frac{0±\sqrt{3273186281472000}}{2\times 2764800}$$

Take the square root of 3273186281472000.

$$x=\frac{0±1920\sqrt{887908605}}{2\times 2764800}$$

Multiply 2 times 2764800.

$$x=\frac{0±1920\sqrt{887908605}}{5529600}$$

Now solve the equation x=\frac{0±1920\sqrt{887908605}}{5529600} when ± is plus.

$$x=\frac{\sqrt{887908605}}{2880}$$

Now solve the equation x=\frac{0±1920\sqrt{887908605}}{5529600} when ± is minus.

$$x=-\frac{\sqrt{887908605}}{2880}$$

The equation is now solved.

$$x=\frac{\sqrt{887908605}}{2880} x=-\frac{\sqrt{887908605}}{2880}$$