1.27*10^36=x(x+.26)

Solution for 1.27*10^36=x(x+.26) equation:

1.27*10^36=x(x+.26)

We move all terms to the left:

1.27*10^36-(x(x+.26))=0

We add all the numbers together, and all the variables

-(x(x+0.26))+1.27*10^36=0

We add all the numbers together, and all the variables

-(x(x+0.26))+36+1.27E=0


We calculate terms in parentheses: -(x(x+0.26)), so:

x(x+0.26)

We multiply parentheses

x^2+0.26x

Back to the equation:

-(x^2+0.26x)


We add all the numbers together, and all the variables

-(x^2+0.26x)+39.452217922143=0

We get rid of parentheses

-x^2-0.26x+39.452217922143=0

We add all the numbers together, and all the variables

-1x^2-0.26x+39.452217922143=0

a = -1; b = -0.26; c = +39.452217922143;
Δ = b2-4ac
Δ = -0.262-4·(-1)·39.452217922143
Δ = 157.87647168857
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{-(-0.26)-\sqrt{157.87647168857}}{2*-1}=\frac{0.26-\sqrt{157.87647168857}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.26)+\sqrt{157.87647168857}}{2*-1}=\frac{0.26+\sqrt{157.87647168857}}{-2}
$