4x^2+6x=238

Solution for 4x^2+6x=238 equation:

4x^2+6x=238

We move all terms to the left:

4x^2+6x-(238)=0

a = 4; b = 6; c = -238;
Δ = b2-4ac
Δ = 62-4·4·(-238)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-62}{2*4}=\frac{-68}{8}
=-8+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+62}{2*4}=\frac{56}{8}
=7
$