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(15+2x)(9+2x)-15*9=112
We move all terms to the left:
(15+2x)(9+2x)-15*9-(112)=0
determiningTheFunctionDomain (15+2x)(9+2x)-112-15*9=0
We add all the numbers together, and all the variables
(2x+15)(2x+9)-112-15*9=0
We add all the numbers together, and all the variables
(2x+15)(2x+9)-247=0
We multiply parentheses ..
(+4x^2+18x+30x+135)-247=0
We get rid of parentheses
4x^2+18x+30x+135-247=0
We add all the numbers together, and all the variables
4x^2+48x-112=0
a = 4; b = 48; c = -112;
Δ = b2-4ac
Δ = 482-4·4·(-112)
Δ = 4096
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{4096}=64$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-64}{2*4}=\frac{-112}{8} =-14 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+64}{2*4}=\frac{16}{8} =2 $
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