(2x+6)(9x+7)=0

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Solution for (2x+6)(9x+7)=0 equation:



(2x+6)(9x+7)=0
We multiply parentheses ..
(+18x^2+14x+54x+42)=0
We get rid of parentheses
18x^2+14x+54x+42=0
We add all the numbers together, and all the variables
18x^2+68x+42=0
a = 18; b = 68; c = +42;
Δ = b2-4ac
Δ = 682-4·18·42
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(68)-40}{2*18}=\frac{-108}{36} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(68)+40}{2*18}=\frac{-28}{36} =-7/9 $

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