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(5x+2)(4x+6)=180
We move all terms to the left:
(5x+2)(4x+6)-(180)=0
We multiply parentheses ..
(+20x^2+30x+8x+12)-180=0
We get rid of parentheses
20x^2+30x+8x+12-180=0
We add all the numbers together, and all the variables
20x^2+38x-168=0
a = 20; b = 38; c = -168;
Δ = b2-4ac
Δ = 382-4·20·(-168)
Δ = 14884
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{14884}=122$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(38)-122}{2*20}=\frac{-160}{40} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(38)+122}{2*20}=\frac{84}{40} =2+1/10 $
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