3(7x2)=-5x

Solution for 3(7x2)=-5x equation:

3(7x^2)=-5x

We move all terms to the left:

3(7x^2)-(-5x)=0

We get rid of parentheses

37x^2+5x=0

a = 37; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·37·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*37}=\frac{-10}{74}
=-5/37
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*37}=\frac{0}{74}
=0
$