Use the formula and solve:
$5 m^{2} + 5 m = 1$

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Solution

$5 m^{2} + 5 m = 1$

$\Rightarrow 5 m^{2} + 5 m - 1 = 0$

Here $a = 5, b = 5, c = - 1$

By using quadratic formula,

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

$\Rightarrow x = \frac{- 5 \pm \sqrt{5^{2} - 4 \cdot 5 \cdot (- 1)}}{2 \times 5}$

$\Rightarrow x = \frac{- 5 \pm \sqrt{25 + 20}}{10}$

$\Rightarrow x = \frac{- 5 \pm \sqrt{45}}{10}$

$\Rightarrow x = \frac{- 5 \pm 3 \sqrt{5}}{10}$

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