Solve 300=x*x+4*6

$$300=x \times x+4 \times 6$$

Solve for x

$$x=2\sqrt{69}\approx 16.613247726$$

$$x=-2\sqrt{69}\approx -16.613247726$$

Steps by Finding Square Root

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

$$300=x^{2}+4\times 6$$

Multiply 4 and 6 to get 24.

$$300=x^{2}+24$$

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

$$x^{2}+24=300$$

Subtract 24 from both sides.

$$x^{2}=300-24$$

Subtract 24 from 300 to get 276.

$$x^{2}=276$$

Take the square root of both sides of the equation.

$$x=2\sqrt{69} x=-2\sqrt{69}$$

Steps Using the Quadratic Formula

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

$$300=x^{2}+4\times 6$$

Multiply 4 and 6 to get 24.

$$300=x^{2}+24$$

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

$$x^{2}+24=300$$

Subtract 300 from both sides.

$$x^{2}+24-300=0$$

Subtract 300 from 24 to get -276.

$$x^{2}-276=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -276 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-276\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-276\right)}}{2}$$

Multiply -4 times -276.

$$x=\frac{0±\sqrt{1104}}{2}$$

Take the square root of 1104.

$$x=\frac{0±4\sqrt{69}}{2}$$

Now solve the equation x=\frac{0±4\sqrt{69}}{2} when ± is plus.

$$x=2\sqrt{69}$$

Now solve the equation x=\frac{0±4\sqrt{69}}{2} when ± is minus.

$$x=-2\sqrt{69}$$

The equation is now solved.

$$x=2\sqrt{69} x=-2\sqrt{69}$$