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(2x+138)(3x-207)=0
We multiply parentheses ..
(+6x^2-414x+414x-28566)=0
We get rid of parentheses
6x^2-414x+414x-28566=0
We add all the numbers together, and all the variables
6x^2-28566=0
a = 6; b = 0; c = -28566;
Δ = b2-4ac
Δ = 02-4·6·(-28566)
Δ = 685584
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{685584}=828$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-828}{2*6}=\frac{-828}{12} =-69 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+828}{2*6}=\frac{828}{12} =69 $
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