(x-8)(4x-7)=0

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Solution for (x-8)(4x-7)=0 equation:



(x-8)(4x-7)=0
We multiply parentheses ..
(+4x^2-7x-32x+56)=0
We get rid of parentheses
4x^2-7x-32x+56=0
We add all the numbers together, and all the variables
4x^2-39x+56=0
a = 4; b = -39; c = +56;
Δ = b2-4ac
Δ = -392-4·4·56
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39)-25}{2*4}=\frac{14}{8} =1+3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39)+25}{2*4}=\frac{64}{8} =8 $

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