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(3x+7)(4x+5)=180
We move all terms to the left:
(3x+7)(4x+5)-(180)=0
We multiply parentheses ..
(+12x^2+15x+28x+35)-180=0
We get rid of parentheses
12x^2+15x+28x+35-180=0
We add all the numbers together, and all the variables
12x^2+43x-145=0
a = 12; b = 43; c = -145;
Δ = b2-4ac
Δ = 432-4·12·(-145)
Δ = 8809
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-\sqrt{8809}}{2*12}=\frac{-43-\sqrt{8809}}{24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+\sqrt{8809}}{2*12}=\frac{-43+\sqrt{8809}}{24} $
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