(9x-8)(4x+3)=0

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Solution for (9x-8)(4x+3)=0 equation:



(9x-8)(4x+3)=0
We multiply parentheses ..
(+36x^2+27x-32x-24)=0
We get rid of parentheses
36x^2+27x-32x-24=0
We add all the numbers together, and all the variables
36x^2-5x-24=0
a = 36; b = -5; c = -24;
Δ = b2-4ac
Δ = -52-4·36·(-24)
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-59}{2*36}=\frac{-54}{72} =-3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+59}{2*36}=\frac{64}{72} =8/9 $

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