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(8x+5)(2x+9)=0
We multiply parentheses ..
(+16x^2+72x+10x+45)=0
We get rid of parentheses
16x^2+72x+10x+45=0
We add all the numbers together, and all the variables
16x^2+82x+45=0
a = 16; b = 82; c = +45;
Δ = b2-4ac
Δ = 822-4·16·45
Δ = 3844
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{3844}=62$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(82)-62}{2*16}=\frac{-144}{32} =-4+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(82)+62}{2*16}=\frac{-20}{32} =-5/8 $
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