5x2-3=-15x

Solution for 5x2-3=-15x equation:

5x^2-3=-15x

We move all terms to the left:

5x^2-3-(-15x)=0

We get rid of parentheses

5x^2+15x-3=0

a = 5; b = 15; c = -3;
Δ = b2-4ac
Δ = 152-4·5·(-3)
Δ = 285
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{-(15)-\sqrt{285}}{2*5}=\frac{-15-\sqrt{285}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{285}}{2*5}=\frac{-15+\sqrt{285}}{10}
$