1.8(x+2)+4x+7x-8+4x(x-2)=460

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Solution for 1.8(x+2)+4x+7x-8+4x(x-2)=460 equation:



1.8(x+2)+4x+7x-8+4x(x-2)=460
We move all terms to the left:
1.8(x+2)+4x+7x-8+4x(x-2)-(460)=0
We add all the numbers together, and all the variables
11x+1.8(x+2)+4x(x-2)-468=0
We multiply parentheses
4x^2+11x+1.8x-8x+3.6-468=0
We add all the numbers together, and all the variables
4x^2+4.8x-464.4=0
a = 4; b = 4.8; c = -464.4;
Δ = b2-4ac
Δ = 4.82-4·4·(-464.4)
Δ = 7453.44
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{-(4.8)-\sqrt{7453.44}}{2*4}=\frac{-4.8-\sqrt{7453.44}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.8)+\sqrt{7453.44}}{2*4}=\frac{-4.8+\sqrt{7453.44}}{8} $

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