(x)(4x+6)=180

Solution for (x)(4x+6)=180 equation:

(x)(4x+6)=180

We move all terms to the left:

(x)(4x+6)-(180)=0

We multiply parentheses

4x^2+6x-180=0

a = 4; b = 6; c = -180;
Δ = b2-4ac
Δ = 62-4·4·(-180)
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-54}{2*4}=\frac{-60}{8}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+54}{2*4}=\frac{48}{8}
=6
$