7x^2-15x=238

Solution for 7x^2-15x=238 equation:

7x^2-15x=238

We move all terms to the left:

7x^2-15x-(238)=0

a = 7; b = -15; c = -238;
Δ = b2-4ac
Δ = -152-4·7·(-238)
Δ = 6889
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6889}=83$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-83}{2*7}=\frac{-68}{14}
=-4+6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+83}{2*7}=\frac{98}{14}
=7
$