-4x^2=-15+11x

Solution for -4x^2=-15+11x equation:

-4x^2=-15+11x

We move all terms to the left:

-4x^2-(-15+11x)=0

We add all the numbers together, and all the variables

-4x^2-(11x-15)=0

We get rid of parentheses

-4x^2-11x+15=0

a = -4; b = -11; c = +15;
Δ = b2-4ac
Δ = -112-4·(-4)·15
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-19}{2*-4}=\frac{-8}{-8}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+19}{2*-4}=\frac{30}{-8}
=-3+3/4
$