7x+6=8x/2*

Solution for 7x+6=8x/2* equation:

7x+6=8x/2*

We move all terms to the left:

7x+6-(8x/2*)=0

We add all the numbers together, and all the variables

7x-(+8x/2*)+6=0

We get rid of parentheses

7x-8x/2*+6=0

We multiply all the terms by the denominator


7x*2*-8x+6*2*=0

We add all the numbers together, and all the variables

-8x+7x*2*=0

Wy multiply elements

14x^2-8x=0

a = 14; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·14·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*14}=\frac{0}{28}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*14}=\frac{16}{28}
=4/7
$