(5x*8x)-(2x*3x)=114

Solution for (5x*8x)-(2x*3x)=114 equation:

(5x*8x)-(2x*3x)=114

We move all terms to the left:

(5x*8x)-(2x*3x)-(114)=0

We add all the numbers together, and all the variables

(+5x*8x)-(+2x*3x)-114=0

We get rid of parentheses

5x*8x-2x*3x-114=0

Wy multiply elements

40x^2-6x^2-114=0

We add all the numbers together, and all the variables

34x^2-114=0

a = 34; b = 0; c = -114;
Δ = b2-4ac
Δ = 02-4·34·(-114)
Δ = 15504
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{15504}=\sqrt{16*969}=\sqrt{16}*\sqrt{969}=4\sqrt{969}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{969}}{2*34}=\frac{0-4\sqrt{969}}{68}
=-\frac{4\sqrt{969}}{68}
=-\frac{\sqrt{969}}{17}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{969}}{2*34}=\frac{0+4\sqrt{969}}{68}
=\frac{4\sqrt{969}}{68}
=\frac{\sqrt{969}}{17}
$