2x^2+7x=184

Solution for 2x^2+7x=184 equation:

2x^2+7x=184

We move all terms to the left:

2x^2+7x-(184)=0

a = 2; b = 7; c = -184;
Δ = b2-4ac
Δ = 72-4·2·(-184)
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-39}{2*2}=\frac{-46}{4}
=-11+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+39}{2*2}=\frac{32}{4}
=8
$