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(4x+30)(2x+6)=180
We move all terms to the left:
(4x+30)(2x+6)-(180)=0
We multiply parentheses ..
(+8x^2+24x+60x+180)-180=0
We get rid of parentheses
8x^2+24x+60x+180-180=0
We add all the numbers together, and all the variables
8x^2+84x=0
a = 8; b = 84; c = 0;
Δ = b2-4ac
Δ = 842-4·8·0
Δ = 7056
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{7056}=84$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(84)-84}{2*8}=\frac{-168}{16} =-10+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(84)+84}{2*8}=\frac{0}{16} =0 $
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