4x-6+-(-2x-4)-12x(7x-4)*86/87*2(0-24x)-12x=12

Solution for 4x-6+-(-2x-4)-12x(7x-4)*86/87*2(0-24x)-12x=12 equation:

4x-6+-(-2x-4)-12x(7x-4)*86/87*2(0-24x)-12x=12

We move all terms to the left:

4x-6+-(-2x-4)-12x(7x-4)*86/87*2(0-24x)-12x-(12)=0


Domain of the equation: 87*2(0-24x)!=0

x∈R


determiningTheFunctionDomain
4x-(-2x-4)-12x(7x-4)*86/87*2(0-24x)-12x-6-12+=0

We add all the numbers together, and all the variables

4x-(-2x-4)-12x(7x-4)*86/87*2(-24x)-12x-6-12+=0

We add all the numbers together, and all the variables

-8x-(-2x-4)-12x(7x-4)*86/87*2(-24x)=0

We get rid of parentheses

-8x+2x-12x(7x-4)*86/87*2(-24x)+4=0

We multiply all the terms by the denominator


-8x*87*2(-24x)+2x*87*2(-24x)-12x(7x-4)*86+4*87*2(-24x)=0

We multiply parentheses

-7224x^2-8x*87*2(-24x)+2x*87*2(-24x)+4128x+4*87*2(-24x)=0

Wy multiply elements

-7224x^2-1392x^2*2+348x^2*2+4128x+696x*2=0

Wy multiply elements

-7224x^2-2784x^2+696x^2+4128x+1392x=0

We add all the numbers together, and all the variables

-9312x^2+5520x=0

a = -9312; b = 5520; c = 0;
Δ = b2-4ac
Δ = 55202-4·(-9312)·0
Δ = 30470400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30470400}=5520$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5520)-5520}{2*-9312}=\frac{-11040}{-18624}
=115/194
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5520)+5520}{2*-9312}=\frac{0}{-18624}
=0
$