2x^2+7x=159,75

Solution for 2x^2+7x=159,75 equation:

2x^2+7x=159.75

We move all terms to the left:

2x^2+7x-(159.75)=0

We add all the numbers together, and all the variables

2x^2+7x-159.75=0

a = 2; b = 7; c = -159.75;
Δ = b2-4ac
Δ = 72-4·2·(-159.75)
Δ = 1327
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{-(7)-\sqrt{1327}}{2*2}=\frac{-7-\sqrt{1327}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1327}}{2*2}=\frac{-7+\sqrt{1327}}{4}
$