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(2x+15)(2x+14)=0.12
We move all terms to the left:
(2x+15)(2x+14)-(0.12)=0
We add all the numbers together, and all the variables
(2x+15)(2x+14)-0.12=0
We multiply parentheses ..
(+4x^2+28x+30x+210)-0.12=0
We get rid of parentheses
4x^2+28x+30x+210-0.12=0
We add all the numbers together, and all the variables
4x^2+58x+209.88=0
a = 4; b = 58; c = +209.88;
Δ = b2-4ac
Δ = 582-4·4·209.88
Δ = 5.9200000000001
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{-(58)-\sqrt{5.9200000000001}}{2*4}=\frac{-58-\sqrt{5.9200000000001}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+\sqrt{5.9200000000001}}{2*4}=\frac{-58+\sqrt{5.9200000000001}}{8} $
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