Solve 160:x=x:10

$$160 : x = x : 10$$

Solve for x

$$x=40$$

$$x=-40$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.

$$10\times 160=xx$$

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

$$10\times 160=x^{2}$$

Multiply 10 and 160 to get 1600.

$$1600=x^{2}$$

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

$$x^{2}=1600$$

Take the square root of both sides of the equation.

$$x=40 x=-40$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.

$$10\times 160=xx$$

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

$$10\times 160=x^{2}$$

Multiply 10 and 160 to get 1600.

$$1600=x^{2}$$

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

$$x^{2}=1600$$

Subtract 1600 from both sides.

$$x^{2}-1600=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -1600 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-1600\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1600\right)}}{2}$$

Multiply -4 times -1600.

$$x=\frac{0±\sqrt{6400}}{2}$$

Take the square root of 6400.

$$x=\frac{0±80}{2}$$

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

$$x=40$$

Now solve the equation x=\frac{0±80}{2} when ± is minus. Divide -80 by 2.

$$x=-40$$

The equation is now solved.

$$x=40 x=-40$$