2x*4x+37=6x*4x+21

Solution for 2x*4x+37=6x*4x+21 equation:

2x*4x+37=6x*4x+21

We move all terms to the left:

2x*4x+37-(6x*4x+21)=0

Wy multiply elements

8x^2-(6x*4x+21)+37=0

We get rid of parentheses

8x^2-6x*4x-21+37=0

We add all the numbers together, and all the variables

8x^2-6x*4x+16=0

Wy multiply elements

8x^2-24x^2+16=0

We add all the numbers together, and all the variables

-16x^2+16=0

a = -16; b = 0; c = +16;
Δ = b2-4ac
Δ = 02-4·(-16)·16
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32}{2*-16}=\frac{-32}{-32}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32}{2*-16}=\frac{32}{-32}
=-1
$