15x^2+25x+25=175

Solution for 15x^2+25x+25=175 equation:

15x^2+25x+25=175

We move all terms to the left:

15x^2+25x+25-(175)=0

We add all the numbers together, and all the variables

15x^2+25x-150=0

a = 15; b = 25; c = -150;
Δ = b2-4ac
Δ = 252-4·15·(-150)
Δ = 9625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{9625}=\sqrt{25*385}=\sqrt{25}*\sqrt{385}=5\sqrt{385}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-5\sqrt{385}}{2*15}=\frac{-25-5\sqrt{385}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+5\sqrt{385}}{2*15}=\frac{-25+5\sqrt{385}}{30}
$