5x^2+7.5x-37.5=0

Solution for 5x^2+7.5x-37.5=0 equation:

5x^2+7.5x-37.5=0

a = 5; b = 7.5; c = -37.5;
Δ = b2-4ac
Δ = 7.52-4·5·(-37.5)
Δ = 806.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7.5)-\sqrt{806.25}}{2*5}=\frac{-7.5-\sqrt{806.25}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.5)+\sqrt{806.25}}{2*5}=\frac{-7.5+\sqrt{806.25}}{10}
$