Answer
$x = -\frac{7}{5}$
Work Step by Step
$Find$ $all$ $real$ $solutions$ $of$ $the$ $quadratic$ $equation:$
$25x^2+70x+49=0$
Use the Quadratic Equation Formula: $x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$
$25x^2+70x+49$
$a = 25, b = 70, c = 49$
$x = \frac{-(70) \pm \sqrt {(70)^2- 4(25 \times 49)}}{2(25)}$
$x = \frac{-70 \pm \sqrt {4900- 4900}}{50}$
$x = \frac{-70 \pm \sqrt{0}}{50}$
$x = \frac{-70}{50}$
$x = -\frac{7}{5}$
