2x(9-5x)-(-4x-(6x*6x))=

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Solution for 2x(9-5x)-(-4x-(6x*6x))= equation:



2x(9-5x)-(-4x-(6x*6x))=
We move all terms to the left:
2x(9-5x)-(-4x-(6x*6x))-()=0
We add all the numbers together, and all the variables
2x(-5x+9)-(-4x-(+6x*6x))-()=0
We add all the numbers together, and all the variables
2x(-5x+9)-(-4x-(+6x*6x))=0
We multiply parentheses
-10x^2+18x-(-4x-(+6x*6x))=0
We calculate terms in parentheses: -(-4x-(+6x*6x)), so:
-4x-(+6x*6x)
We get rid of parentheses
-4x-6x*6x
Wy multiply elements
-36x^2-4x
Back to the equation:
-(-36x^2-4x)
We get rid of parentheses
-10x^2+36x^2+4x+18x=0
We add all the numbers together, and all the variables
26x^2+22x=0
a = 26; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·26·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*26}=\frac{-44}{52} =-11/13 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*26}=\frac{0}{52} =0 $

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