4x(6X+4)=7X

Solution for 4x(6X+4)=7X equation:

4x(6x+4)=7x

We move all terms to the left:

4x(6x+4)-(7x)=0

We add all the numbers together, and all the variables

-7x+4x(6x+4)=0

We multiply parentheses

24x^2-7x+16x=0

We add all the numbers together, and all the variables

24x^2+9x=0

a = 24; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·24·0
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*24}=\frac{-18}{48}
=-3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*24}=\frac{0}{48}
=0
$