0.0875x2-0.4x=473.4

Solution for 0.0875x2-0.4x=473.4 equation:

0.0875x^2-0.4x=473.4

We move all terms to the left:

0.0875x^2-0.4x-(473.4)=0

We add all the numbers together, and all the variables

0.0875x^2-0.4x-473.4=0

a = 0.0875; b = -0.4; c = -473.4;
Δ = b2-4ac
Δ = -0.42-4·0.0875·(-473.4)
Δ = 165.85
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{-(-0.4)-\sqrt{165.85}}{2*0.0875}=\frac{0.4-\sqrt{165.85}}{0.175}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.4)+\sqrt{165.85}}{2*0.0875}=\frac{0.4+\sqrt{165.85}}{0.175}
$