Solve for x (x^2)/25-6=-2

$\frac{x^{2}}{25} - 6 = - 2$

Move all terms not containing $x$ to the right side of the equation.

Add $6$ to both sides of the equation.

$\frac{x^{2}}{25} = - 2 + 6$

Add $- 2$ and $6$ .

$\frac{x^{2}}{25} = 4$

Multiply both sides of the equation by $25$ .

$25 \frac{x^{2}}{25} = 25 \cdot 4$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $25$ .

Cancel the common factor.

$25 \frac{x^{2}}{25} = 25 \cdot 4$

Rewrite the expression.

$x^{2} = 25 \cdot 4$

Simplify the right side.

Multiply $25$ by $4$ .

$x^{2} = 100$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{100}$

Simplify $\pm \sqrt{100}$ .

Rewrite $100$ as $10^{2}$ .

$x = \pm \sqrt{10^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 10$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 10$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 10$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 10, - 10$