7x^2+18x=-3x

Solution for 7x^2+18x=-3x equation:

7x^2+18x=-3x

We move all terms to the left:

7x^2+18x-(-3x)=0

We get rid of parentheses

7x^2+18x+3x=0

We add all the numbers together, and all the variables

7x^2+21x=0

a = 7; b = 21; c = 0;
Δ = b2-4ac
Δ = 212-4·7·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-21}{2*7}=\frac{-42}{14}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+21}{2*7}=\frac{0}{14}
=0
$