Solve 2x*7x=2

$$2x \times 7x=2$$

Solve for x

$$x=\frac{\sqrt{7}}{7}\approx 0.377964473$$

$$x=-\frac{\sqrt{7}}{7}\approx -0.377964473$$

Steps by Finding Square Root

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

$$2x^{2}\times 7=2$$

Multiply 2 and 7 to get 14.

$$14x^{2}=2$$

Divide both sides by 14.

$$x^{2}=\frac{2}{14}$$

Reduce the fraction \frac{2}{14} to lowest terms by extracting and canceling out 2.

$$x^{2}=\frac{1}{7}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{7}}{7} x=-\frac{\sqrt{7}}{7}$$

Steps Using the Quadratic Formula

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

$$2x^{2}\times 7=2$$

Multiply 2 and 7 to get 14.

$$14x^{2}=2$$

Subtract 2 from both sides.

$$14x^{2}-2=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 14 for a, 0 for b, and -2 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 14\left(-2\right)}}{2\times 14}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 14\left(-2\right)}}{2\times 14}$$

Multiply -4 times 14.

$$x=\frac{0±\sqrt{-56\left(-2\right)}}{2\times 14}$$

Multiply -56 times -2.

$$x=\frac{0±\sqrt{112}}{2\times 14}$$

Take the square root of 112.

$$x=\frac{0±4\sqrt{7}}{2\times 14}$$

Multiply 2 times 14.

$$x=\frac{0±4\sqrt{7}}{28}$$

Now solve the equation x=\frac{0±4\sqrt{7}}{28} when ± is plus.

$$x=\frac{\sqrt{7}}{7}$$

Now solve the equation x=\frac{0±4\sqrt{7}}{28} when ± is minus.

$$x=-\frac{\sqrt{7}}{7}$$

The equation is now solved.

$$x=\frac{\sqrt{7}}{7} x=-\frac{\sqrt{7}}{7}$$