2(x-3x)=22-13(4/4)(3x*9x)

Solution for 2(x-3x)=22-13(4/4)(3x*9x) equation:

2(x-3x)=22-13(4/4)(3x*9x)

We move all terms to the left:

2(x-3x)-(22-13(4/4)(3x*9x))=0


Domain of the equation: 4)(3x*9x))!=0

x∈R


We add all the numbers together, and all the variables

2(-2x)-(22-131(+3x*9x))=0

We multiply parentheses

-4x-(22-131(+3x*9x))=0


We calculate terms in parentheses: -(22-131(+3x*9x)), so:

22-131(+3x*9x)

determiningTheFunctionDomain
-131(+3x*9x)+22

We multiply parentheses

-3537x^2+22

Back to the equation:

-(-3537x^2+22)


We get rid of parentheses

3537x^2-4x-22=0

a = 3537; b = -4; c = -22;
Δ = b2-4ac
Δ = -42-4·3537·(-22)
Δ = 311272
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:

$\sqrt{\Delta}=\sqrt{311272}=\sqrt{4*77818}=\sqrt{4}*\sqrt{77818}=2\sqrt{77818}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-2\sqrt{77818}}{2*3537}=\frac{4-2\sqrt{77818}}{7074}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+2\sqrt{77818}}{2*3537}=\frac{4+2\sqrt{77818}}{7074}
$