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(5x+6)(8x+5)=180
We move all terms to the left:
(5x+6)(8x+5)-(180)=0
We multiply parentheses ..
(+40x^2+25x+48x+30)-180=0
We get rid of parentheses
40x^2+25x+48x+30-180=0
We add all the numbers together, and all the variables
40x^2+73x-150=0
a = 40; b = 73; c = -150;
Δ = b2-4ac
Δ = 732-4·40·(-150)
Δ = 29329
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{-(73)-\sqrt{29329}}{2*40}=\frac{-73-\sqrt{29329}}{80} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(73)+\sqrt{29329}}{2*40}=\frac{-73+\sqrt{29329}}{80} $
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