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(15+x)(18+x)=154
We move all terms to the left:
(15+x)(18+x)-(154)=0
We add all the numbers together, and all the variables
(x+15)(x+18)-154=0
We multiply parentheses ..
(+x^2+18x+15x+270)-154=0
We get rid of parentheses
x^2+18x+15x+270-154=0
We add all the numbers together, and all the variables
x^2+33x+116=0
a = 1; b = 33; c = +116;
Δ = b2-4ac
Δ = 332-4·1·116
Δ = 625
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{625}=25$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-25}{2*1}=\frac{-58}{2} =-29 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+25}{2*1}=\frac{-8}{2} =-4 $
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