(0.1+x)(0.05+x)=1.5*10^-8

Solution for (0.1+x)(0.05+x)=1.5*10^-8 equation:

(0.1+x)(0.05+x)=1.5*10^-8

We move all terms to the left:

(0.1+x)(0.05+x)-(1.5*10^-8)=0

We add all the numbers together, and all the variables

(x+0.1)(x+0.05)-(1.5*10^-8)=0

We add all the numbers together, and all the variables

(x+0.1)(x+0.05)-8-1.5E=0

We multiply parentheses ..

(+x^2+0.05x+0.1x+0.005)-8-1.5E=0

We add all the numbers together, and all the variables

(+x^2+0.05x+0.1x+0.005)-12.077422742689=0

We get rid of parentheses

x^2+0.05x+0.1x+0.005-12.077422742689=0

We add all the numbers together, and all the variables

x^2+0.15x-12.072422742689=0

a = 1; b = 0.15; c = -12.072422742689;
Δ = b2-4ac
Δ = 0.152-4·1·(-12.072422742689)
Δ = 48.312190970756
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{-(0.15)-\sqrt{48.312190970756}}{2*1}=\frac{-0.15-\sqrt{48.312190970756}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.15)+\sqrt{48.312190970756}}{2*1}=\frac{-0.15+\sqrt{48.312190970756}}{2}
$