3x(8x-7)=24x-21x

Solution for 3x(8x-7)=24x-21x equation:

3x(8x-7)=24x-21x

We move all terms to the left:

3x(8x-7)-(24x-21x)=0

We add all the numbers together, and all the variables

3x(8x-7)-(+3x)=0

We multiply parentheses

24x^2-21x-(+3x)=0

We get rid of parentheses

24x^2-21x-3x=0

We add all the numbers together, and all the variables

24x^2-24x=0

a = 24; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·24·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*24}=\frac{0}{48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*24}=\frac{48}{48}
=1
$