1168.2-0.0046x-0.000012x^2=0

Solution for 1168.2-0.0046x-0.000012x^2=0 equation:

1168.2-0.0046x-0.000012x^2=0

We add all the numbers together, and all the variables

-5x^2-0.0046x+1168.2-1.2E=0

We add all the numbers together, and all the variables

-5x^2-0.0046x+1164.9380618058=0

a = -5; b = -0.0046; c = +1164.9380618058;
Δ = b2-4ac
Δ = -0.00462-4·(-5)·1164.9380618058
Δ = 23298.761257276
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{-(-0.0046)-\sqrt{23298.761257276}}{2*-5}=\frac{0.0046-\sqrt{23298.761257276}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.0046)+\sqrt{23298.761257276}}{2*-5}=\frac{0.0046+\sqrt{23298.761257276}}{-10}
$