7x(8x+2)=9x

Solution for 7x(8x+2)=9x equation:

7x(8x+2)=9x

We move all terms to the left:

7x(8x+2)-(9x)=0

We add all the numbers together, and all the variables

-9x+7x(8x+2)=0

We multiply parentheses

56x^2-9x+14x=0

We add all the numbers together, and all the variables

56x^2+5x=0

a = 56; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·56·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*56}=\frac{-10}{112}
=-5/56
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*56}=\frac{0}{112}
=0
$