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(x+10)x+120+100+120+120=720
We move all terms to the left:
(x+10)x+120+100+120+120-(720)=0
We add all the numbers together, and all the variables
(x+10)x-260=0
We multiply parentheses
x^2+10x-260=0
a = 1; b = 10; c = -260;
Δ = b2-4ac
Δ = 102-4·1·(-260)
Δ = 1140
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1140}=\sqrt{4*285}=\sqrt{4}*\sqrt{285}=2\sqrt{285}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{285}}{2*1}=\frac{-10-2\sqrt{285}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{285}}{2*1}=\frac{-10+2\sqrt{285}}{2} $
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