5((3x/7)-2)=3x

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

5((3x/7)-2)=3x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

-21x^2+3x=0

a = -21; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-21)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-21}=\frac{-6}{-42}
=1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-21}=\frac{0}{-42}
=0
$