5x(3x+6)=+

Solution for 5x(3x+6)=+ equation:

5x(3x+6)=+

We move all terms to the left:

5x(3x+6)-(+)=0

We add all the numbers together, and all the variables

5x(3x+6)-0=0

We add all the numbers together, and all the variables

5x(3x+6)=0

We multiply parentheses

15x^2+30x=0

a = 15; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·15·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*15}=\frac{-60}{30}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*15}=\frac{0}{30}
=0
$