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(4x-6)(6x+9)=0
We multiply parentheses ..
(+24x^2+36x-36x-54)=0
We get rid of parentheses
24x^2+36x-36x-54=0
We add all the numbers together, and all the variables
24x^2-54=0
a = 24; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·24·(-54)
Δ = 5184
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{5184}=72$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*24}=\frac{-72}{48} =-1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*24}=\frac{72}{48} =1+1/2 $
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