-6,8(x-15)(x+38)=0.

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Solution for -6,8(x-15)(x+38)=0. equation:



-6.8(x-15)(x+38)=0.
We multiply parentheses ..
-6.8(+x^2+38x-15x-570)=0
We multiply parentheses
-6.8x^2-258.4x+102x+3876=0
We add all the numbers together, and all the variables
-6.8x^2-156.4x+3876=0
a = -6.8; b = -156.4; c = +3876;
Δ = b2-4ac
Δ = -156.42-4·(-6.8)·3876
Δ = 129888.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156.4)-\sqrt{129888.16}}{2*-6.8}=\frac{156.4-\sqrt{129888.16}}{-13.6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156.4)+\sqrt{129888.16}}{2*-6.8}=\frac{156.4+\sqrt{129888.16}}{-13.6} $

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