(8x+18)(4x+57)=0

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Solution for (8x+18)(4x+57)=0 equation:



(8x+18)(4x+57)=0
We multiply parentheses ..
(+32x^2+456x+72x+1026)=0
We get rid of parentheses
32x^2+456x+72x+1026=0
We add all the numbers together, and all the variables
32x^2+528x+1026=0
a = 32; b = 528; c = +1026;
Δ = b2-4ac
Δ = 5282-4·32·1026
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(528)-384}{2*32}=\frac{-912}{64} =-14+1/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(528)+384}{2*32}=\frac{-144}{64} =-2+1/4 $

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