2x-2-0.66(x^2-7x+10)=0

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Solution for 2x-2-0.66(x^2-7x+10)=0 equation: 



2x-2-0.66(x^2-7x+10)=0

We multiply parentheses

-0.66x^2+2x+4.62x-6.6-2=0

We add all the numbers together, and all the variables

-0.66x^2+6.62x-8.6=0

a = -0.66; b = 6.62; c = -8.6;
Δ = b2-4ac
Δ = 6.622-4·(-0.66)·(-8.6)
Δ = 21.1204
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{-(6.62)-\sqrt{21.1204}}{2*-0.66}=\frac{-6.62-\sqrt{21.1204}}{-1.32}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6.62)+\sqrt{21.1204}}{2*-0.66}=\frac{-6.62+\sqrt{21.1204}}{-1.32}
$

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