0.5(5-7x)=8-(4x+6)X=

Solution for 0.5(5-7x)=8-(4x+6)X= equation:

0.5(5-7x)=8-(4x+6)x=

We move all terms to the left:

0.5(5-7x)-(8-(4x+6)x)=0

We add all the numbers together, and all the variables

0.5(-7x+5)-(8-(4x+6)x)=0

We multiply parentheses

-3.5x-(8-(4x+6)x)+2.5=0


We calculate terms in parentheses: -(8-(4x+6)x), so:

8-(4x+6)x

determiningTheFunctionDomain
-(4x+6)x+8

We multiply parentheses

-4x^2-6x+8

Back to the equation:

-(-4x^2-6x+8)


We get rid of parentheses

4x^2+6x-3.5x-8+2.5=0

We add all the numbers together, and all the variables

4x^2+2.5x-5.5=0

a = 4; b = 2.5; c = -5.5;
Δ = b2-4ac
Δ = 2.52-4·4·(-5.5)
Δ = 94.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2.5)-\sqrt{94.25}}{2*4}=\frac{-2.5-\sqrt{94.25}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.5)+\sqrt{94.25}}{2*4}=\frac{-2.5+\sqrt{94.25}}{8}
$