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5(x+1)(x+7)=1080
We move all terms to the left:
5(x+1)(x+7)-(1080)=0
We multiply parentheses ..
5(+x^2+7x+x+7)-1080=0
We multiply parentheses
5x^2+35x+5x+35-1080=0
We add all the numbers together, and all the variables
5x^2+40x-1045=0
a = 5; b = 40; c = -1045;
Δ = b2-4ac
Δ = 402-4·5·(-1045)
Δ = 22500
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{22500}=150$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-150}{2*5}=\frac{-190}{10} =-19 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+150}{2*5}=\frac{110}{10} =11 $
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