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(5x-7)(4x+6)=180
We move all terms to the left:
(5x-7)(4x+6)-(180)=0
We multiply parentheses ..
(+20x^2+30x-28x-42)-180=0
We get rid of parentheses
20x^2+30x-28x-42-180=0
We add all the numbers together, and all the variables
20x^2+2x-222=0
a = 20; b = 2; c = -222;
Δ = b2-4ac
Δ = 22-4·20·(-222)
Δ = 17764
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{17764}=\sqrt{4*4441}=\sqrt{4}*\sqrt{4441}=2\sqrt{4441}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{4441}}{2*20}=\frac{-2-2\sqrt{4441}}{40} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{4441}}{2*20}=\frac{-2+2\sqrt{4441}}{40} $
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