(-14)=10-x*6x

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Solution for (-14)=10-x*6x equation:



(-14)=10-x*6x
We move all terms to the left:
(-14)-(10-x*6x)=0
We add all the numbers together, and all the variables
-(-x*6x+10)+(-14)=0
We add all the numbers together, and all the variables
-(-x*6x+10)-14=0
We get rid of parentheses
x*6x-10-14=0
We add all the numbers together, and all the variables
x*6x-24=0
Wy multiply elements
6x^2-24=0
a = 6; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·6·(-24)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*6}=\frac{-24}{12} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*6}=\frac{24}{12} =2 $

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