(X-11)(8x+6)=0

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Solution for (X-11)(8x+6)=0 equation:



(X-11)(8X+6)=0
We multiply parentheses ..
(+8X^2+6X-88X-66)=0
We get rid of parentheses
8X^2+6X-88X-66=0
We add all the numbers together, and all the variables
8X^2-82X-66=0
a = 8; b = -82; c = -66;
Δ = b2-4ac
Δ = -822-4·8·(-66)
Δ = 8836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8836}=94$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-82)-94}{2*8}=\frac{-12}{16} =-3/4 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-82)+94}{2*8}=\frac{176}{16} =11 $

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