15x^2=-56+59x

Solution for 15x^2=-56+59x equation:

15x^2=-56+59x

We move all terms to the left:

15x^2-(-56+59x)=0

We add all the numbers together, and all the variables

15x^2-(59x-56)=0

We get rid of parentheses

15x^2-59x+56=0

a = 15; b = -59; c = +56;
Δ = b2-4ac
Δ = -592-4·15·56
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-59)-11}{2*15}=\frac{48}{30}
=1+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+11}{2*15}=\frac{70}{30}
=2+1/3
$