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(9x-1)(6x+4)=0
We multiply parentheses ..
(+54x^2+36x-6x-4)=0
We get rid of parentheses
54x^2+36x-6x-4=0
We add all the numbers together, and all the variables
54x^2+30x-4=0
a = 54; b = 30; c = -4;
Δ = b2-4ac
Δ = 302-4·54·(-4)
Δ = 1764
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{1764}=42$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-42}{2*54}=\frac{-72}{108} =-2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+42}{2*54}=\frac{12}{108} =1/9 $
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