2x(15+2x)=4

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Solution for 2x(15+2x)=4 equation:



2x(15+2x)=4
We move all terms to the left:
2x(15+2x)-(4)=0
We add all the numbers together, and all the variables
2x(2x+15)-4=0
We multiply parentheses
4x^2+30x-4=0
a = 4; b = 30; c = -4;
Δ = b2-4ac
Δ = 302-4·4·(-4)
Δ = 964
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{964}=\sqrt{4*241}=\sqrt{4}*\sqrt{241}=2\sqrt{241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{241}}{2*4}=\frac{-30-2\sqrt{241}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{241}}{2*4}=\frac{-30+2\sqrt{241}}{8} $

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