13.28+0.09x(x+3)=14.03-0.14x

Solution for 13.28+0.09x(x+3)=14.03-0.14x equation:

13.28+0.09x(x+3)=14.03-0.14x

We move all terms to the left:

13.28+0.09x(x+3)-(14.03-0.14x)=0

We add all the numbers together, and all the variables

0.09x(x+3)-(-0.14x+14.03)+13.28=0

We multiply parentheses

0x^2+0x-(-0.14x+14.03)+13.28=0

We get rid of parentheses

0x^2+0x+0.14x-14.03+13.28=0

We add all the numbers together, and all the variables

x^2+1.14x-0.75=0

a = 1; b = 1.14; c = -0.75;
Δ = b2-4ac
Δ = 1.142-4·1·(-0.75)
Δ = 4.2996
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{-(1.14)-\sqrt{4.2996}}{2*1}=\frac{-1.14-\sqrt{4.2996}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.14)+\sqrt{4.2996}}{2*1}=\frac{-1.14+\sqrt{4.2996}}{2}
$