6(4x+18)(7x-1)=0

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Solution for 6(4x+18)(7x-1)=0 equation:



6(4x+18)(7x-1)=0
We multiply parentheses ..
6(+28x^2-4x+126x-18)=0
We multiply parentheses
168x^2-24x+756x-108=0
We add all the numbers together, and all the variables
168x^2+732x-108=0
a = 168; b = 732; c = -108;
Δ = b2-4ac
Δ = 7322-4·168·(-108)
Δ = 608400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{608400}=780$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(732)-780}{2*168}=\frac{-1512}{336} =-4+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(732)+780}{2*168}=\frac{48}{336} =1/7 $

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