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(2x+9)(17x-34)=0
We multiply parentheses ..
(+34x^2-68x+153x-306)=0
We get rid of parentheses
34x^2-68x+153x-306=0
We add all the numbers together, and all the variables
34x^2+85x-306=0
a = 34; b = 85; c = -306;
Δ = b2-4ac
Δ = 852-4·34·(-306)
Δ = 48841
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{48841}=221$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-221}{2*34}=\frac{-306}{68} =-4+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+221}{2*34}=\frac{136}{68} =2 $
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