/4x+2(x-7)=-20

Solution for /4x+2(x-7)=-20 equation:

/4x+2(x-7)=-20

We move all terms to the left:

/4x+2(x-7)-(-20)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

/4x+2(x-7)+20=0

We multiply parentheses

/4x+2x-14+20=0

We multiply all the terms by the denominator


2x*4x-14*4x+20*4x+=0

We add all the numbers together, and all the variables

2x*4x-14*4x+20*4x=0

Wy multiply elements

8x^2-56x+80x=0

We add all the numbers together, and all the variables

8x^2+24x=0

a = 8; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·8·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*8}=\frac{-48}{16}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*8}=\frac{0}{16}
=0
$