Solve 7*25=1120x^2

$$7 \cdot 25 = 1120 x ^ { 2 }$$

Solve for x

$$x=\frac{\sqrt{10}}{8}\approx 0.395284708$$

$$x=-\frac{\sqrt{10}}{8}\approx -0.395284708$$

Steps by Finding Square Root

Multiply 7 and 25 to get 175.

$$175=1120x^{2}$$

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

$$1120x^{2}=175$$

Divide both sides by 1120.

$$x^{2}=\frac{175}{1120}$$

Reduce the fraction \frac{175}{1120} to lowest terms by extracting and canceling out 35.

$$x^{2}=\frac{5}{32}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{10}}{8} x=-\frac{\sqrt{10}}{8}$$

Steps Using the Quadratic Formula

Multiply 7 and 25 to get 175.

$$175=1120x^{2}$$

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

$$1120x^{2}=175$$

Subtract 175 from both sides.

$$1120x^{2}-175=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1120 for a, 0 for b, and -175 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1120\left(-175\right)}}{2\times 1120}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 1120\left(-175\right)}}{2\times 1120}$$

Multiply -4 times 1120.

$$x=\frac{0±\sqrt{-4480\left(-175\right)}}{2\times 1120}$$

Multiply -4480 times -175.

$$x=\frac{0±\sqrt{784000}}{2\times 1120}$$

Take the square root of 784000.

$$x=\frac{0±280\sqrt{10}}{2\times 1120}$$

Multiply 2 times 1120.

$$x=\frac{0±280\sqrt{10}}{2240}$$

Now solve the equation x=\frac{0±280\sqrt{10}}{2240} when ± is plus.

$$x=\frac{\sqrt{10}}{8}$$

Now solve the equation x=\frac{0±280\sqrt{10}}{2240} when ± is minus.

$$x=-\frac{\sqrt{10}}{8}$$

The equation is now solved.

$$x=\frac{\sqrt{10}}{8} x=-\frac{\sqrt{10}}{8}$$