14.045=0.008x^2-3.2

Solution for 14.045=0.008x^2-3.2 equation:

14.045=0.008x^2-3.2

We move all terms to the left:

14.045-(0.008x^2-3.2)=0

We get rid of parentheses

-0.008x^2+3.2+14.045=0

We add all the numbers together, and all the variables

-0.008x^2+17.245=0

a = -0.008; b = 0; c = +17.245;
Δ = b2-4ac
Δ = 02-4·(-0.008)·17.245
Δ = 0.55184
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)-\sqrt{0.55184}}{2*-0.008}=\frac{0-\sqrt{0.55184}}{-0.016}
=-\frac{\sqrt{}}{-0.016}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.55184}}{2*-0.008}=\frac{0+\sqrt{0.55184}}{-0.016}
=\frac{\sqrt{}}{-0.016}
$