7x(3x+2)=5x

Solution for 7x(3x+2)=5x equation:

7x(3x+2)=5x

We move all terms to the left:

7x(3x+2)-(5x)=0

We add all the numbers together, and all the variables

-5x+7x(3x+2)=0

We multiply parentheses

21x^2-5x+14x=0

We add all the numbers together, and all the variables

21x^2+9x=0

a = 21; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·21·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*21}=\frac{-18}{42}
=-3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*21}=\frac{0}{42}
=0
$