Solve 9.6=x/340x

$$9.6 = \frac{ x }{ 3 } 40x$$

Solve for x

$$x=\frac{3\sqrt{2}}{5}\approx 0.848528137$$

$$x=-\frac{3\sqrt{2}}{5}\approx -0.848528137$$

Steps by Finding Square Root

Multiply both sides of the equation by 3.

$$28.8=x\times 40x$$

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

$$28.8=x^{2}\times 40$$

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

$$x^{2}\times 40=28.8$$

Divide both sides by 40.

$$x^{2}=\frac{28.8}{40}$$

Expand \frac{28.8}{40} by multiplying both numerator and the denominator by 10.

$$x^{2}=\frac{288}{400}$$

Reduce the fraction \frac{288}{400} to lowest terms by extracting and canceling out 16.

$$x^{2}=\frac{18}{25}$$

Take the square root of both sides of the equation.

$$x=\frac{3\sqrt{2}}{5} x=-\frac{3\sqrt{2}}{5}$$

Steps Using the Quadratic Formula

Multiply both sides of the equation by 3.

$$28.8=x\times 40x$$

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

$$28.8=x^{2}\times 40$$

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

$$x^{2}\times 40=28.8$$

Subtract 28.8 from both sides.

$$x^{2}\times 40-28.8=0$$

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$40x^{2}-28.8=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 40 for a, 0 for b, and -28.8 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 40\left(-28.8\right)}}{2\times 40}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 40\left(-28.8\right)}}{2\times 40}$$

Multiply -4 times 40.

$$x=\frac{0±\sqrt{-160\left(-28.8\right)}}{2\times 40}$$

Multiply -160 times -28.8.

$$x=\frac{0±\sqrt{4608}}{2\times 40}$$

Take the square root of 4608.

$$x=\frac{0±48\sqrt{2}}{2\times 40}$$

Multiply 2 times 40.

$$x=\frac{0±48\sqrt{2}}{80}$$

Now solve the equation x=\frac{0±48\sqrt{2}}{80} when ± is plus.

$$x=\frac{3\sqrt{2}}{5}$$

Now solve the equation x=\frac{0±48\sqrt{2}}{80} when ± is minus.

$$x=-\frac{3\sqrt{2}}{5}$$

The equation is now solved.

$$x=\frac{3\sqrt{2}}{5} x=-\frac{3\sqrt{2}}{5}$$