Solve for m 5m^2-3=127

$5 m^{2} - 3 = 127$

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

Add $3$ to both sides of the equation.

$5 m^{2} = 127 + 3$

Add $127$ and $3$ .

$5 m^{2} = 130$

Divide each term in $5 m^{2} = 130$ by $5$ and simplify.

Divide each term in $5 m^{2} = 130$ by $5$ .

$\frac{5 m^{2}}{5} = \frac{130}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m^{2}}{5} = \frac{130}{5}$

Divide $m^{2}$ by $1$ .

$m^{2} = \frac{130}{5}$

Simplify the right side.

Divide $130$ by $5$ .

$m^{2} = 26$

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

$m = \pm \sqrt{26}$

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.

$m = \sqrt{26}$

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

$m = - \sqrt{26}$

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

$m = \sqrt{26}, - \sqrt{26}$

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt{26}, - \sqrt{26}$

Decimal Form:

$m = 5.09901951 \dots, - 5.09901951 \dots$