Solve 7x*4x=14=

$$7x \times 4x=14=$$

Solve for x

$$x=\frac{\sqrt{2}}{2}\approx 0.707106781$$

$$x=-\frac{\sqrt{2}}{2}\approx -0.707106781$$

Steps by Finding Square Root

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

$$7x^{2}\times 4=14$$

Multiply 7 and 4 to get 28.

$$28x^{2}=14$$

Divide both sides by 28.

$$x^{2}=\frac{14}{28}$$

Reduce the fraction \frac{14}{28} to lowest terms by extracting and canceling out 14.

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

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$

Steps Using the Quadratic Formula

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

$$7x^{2}\times 4=14$$

Multiply 7 and 4 to get 28.

$$28x^{2}=14$$

Subtract 14 from both sides.

$$28x^{2}-14=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 28 for a, 0 for b, and -14 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-14\right)}}{2\times 28}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 28\left(-14\right)}}{2\times 28}$$

Multiply -4 times 28.

$$x=\frac{0±\sqrt{-112\left(-14\right)}}{2\times 28}$$

Multiply -112 times -14.

$$x=\frac{0±\sqrt{1568}}{2\times 28}$$

Take the square root of 1568.

$$x=\frac{0±28\sqrt{2}}{2\times 28}$$

Multiply 2 times 28.

$$x=\frac{0±28\sqrt{2}}{56}$$

Now solve the equation x=\frac{0±28\sqrt{2}}{56} when ± is plus.

$$x=\frac{\sqrt{2}}{2}$$

Now solve the equation x=\frac{0±28\sqrt{2}}{56} when ± is minus.

$$x=-\frac{\sqrt{2}}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{2}}{2} x=-\frac{\sqrt{2}}{2}$$