X=(10x+6)(8x-6)

Solution for X=(10x+6)(8x-6) equation:

X=(10X+6)(8X-6)

We move all terms to the left:

X-((10X+6)(8X-6))=0

We multiply parentheses ..

-((+80X^2-60X+48X-36))+X=0


We calculate terms in parentheses: -((+80X^2-60X+48X-36)), so:

(+80X^2-60X+48X-36)

We get rid of parentheses

80X^2-60X+48X-36

We add all the numbers together, and all the variables

80X^2-12X-36

Back to the equation:

-(80X^2-12X-36)


We add all the numbers together, and all the variables

X-(80X^2-12X-36)=0

We get rid of parentheses

-80X^2+X+12X+36=0

We add all the numbers together, and all the variables

-80X^2+13X+36=0

a = -80; b = 13; c = +36;
Δ = b2-4ac
Δ = 132-4·(-80)·36
Δ = 11689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-\sqrt{11689}}{2*-80}=\frac{-13-\sqrt{11689}}{-160}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{11689}}{2*-80}=\frac{-13+\sqrt{11689}}{-160}
$