-2x^2+7x=-11

Solution for -2x^2+7x=-11 equation:

-2x^2+7x=-11

We move all terms to the left:

-2x^2+7x-(-11)=0

We add all the numbers together, and all the variables

-2x^2+7x+11=0

a = -2; b = 7; c = +11;
Δ = b2-4ac
Δ = 72-4·(-2)·11
Δ = 137
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{137}}{2*-2}=\frac{-7-\sqrt{137}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{137}}{2*-2}=\frac{-7+\sqrt{137}}{-4}
$