Solve 3:x=x:75

$$3 : x = x : 75$$

Solve for x

$$x=15$$

$$x=-15$$

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 75x, the least common multiple of x,75.

$$75\times 3=xx$$

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

$$75\times 3=x^{2}$$

Multiply 75 and 3 to get 225.

$$225=x^{2}$$

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

$$x^{2}=225$$

Take the square root of both sides of the equation.

$$x=15 x=-15$$

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 75x, the least common multiple of x,75.

$$75\times 3=xx$$

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

$$75\times 3=x^{2}$$

Multiply 75 and 3 to get 225.

$$225=x^{2}$$

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

$$x^{2}=225$$

Subtract 225 from both sides.

$$x^{2}-225=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -225 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-225\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-225\right)}}{2}$$

Multiply -4 times -225.

$$x=\frac{0±\sqrt{900}}{2}$$

Take the square root of 900.

$$x=\frac{0±30}{2}$$

Now solve the equation x=\frac{0±30}{2} when ± is plus. Divide 30 by 2.

$$x=15$$

Now solve the equation x=\frac{0±30}{2} when ± is minus. Divide -30 by 2.

$$x=-15$$

The equation is now solved.

$$x=15 x=-15$$