-10-5x2=-330

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Solution for -10-5x2=-330 equation:



-10-5x^2=-330
We move all terms to the left:
-10-5x^2-(-330)=0
We add all the numbers together, and all the variables
-5x^2+320=0
a = -5; b = 0; c = +320;
Δ = b2-4ac
Δ = 02-4·(-5)·320
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*-5}=\frac{-80}{-10} =+8 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*-5}=\frac{80}{-10} =-8 $

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