(2x+1.50)x.15=11.50

Solution for (2x+1.50)x.15=11.50 equation:

(2x+1.50)x.15=11.50

We move all terms to the left:

(2x+1.50)x.15-(11.50)=0

We add all the numbers together, and all the variables

(2x+1.5)x.15-(11.5)=0

We add all the numbers together, and all the variables

(2x+1.5)x.15-11.5=0

We multiply parentheses

2x^2+1.5x-11.5=0

a = 2; b = 1.5; c = -11.5;
Δ = b2-4ac
Δ = 1.52-4·2·(-11.5)
Δ = 94.25
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{-(1.5)-\sqrt{94.25}}{2*2}=\frac{-1.5-\sqrt{94.25}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.5)+\sqrt{94.25}}{2*2}=\frac{-1.5+\sqrt{94.25}}{4}
$