7x(8x+2)=9x

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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 $

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