/22x-4x=15-6x

Solution for /22x-4x=15-6x equation:

/22x-4x=15-6x

We move all terms to the left:

/22x-4x-(15-6x)=0


Domain of the equation: 22x!=0

x!=0/22

x!=0

x∈R


We add all the numbers together, and all the variables

/22x-4x-(-6x+15)=0

We add all the numbers together, and all the variables

-4x+/22x-(-6x+15)=0

We get rid of parentheses

-4x+/22x+6x-15=0

We multiply all the terms by the denominator


-4x*22x+6x*22x-15*22x+=0

We add all the numbers together, and all the variables

-4x*22x+6x*22x-15*22x=0

Wy multiply elements

-88x^2+132x^2-330x=0

We add all the numbers together, and all the variables

44x^2-330x=0

a = 44; b = -330; c = 0;
Δ = b2-4ac
Δ = -3302-4·44·0
Δ = 108900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{108900}=330$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-330)-330}{2*44}=\frac{0}{88}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-330)+330}{2*44}=\frac{660}{88}
=7+1/2
$