8x^2+2x-25=-3x+2x^2

Solution for 8x^2+2x-25=-3x+2x^2 equation:

8x^2+2x-25=-3x+2x^2

We move all terms to the left:

8x^2+2x-25-(-3x+2x^2)=0

We get rid of parentheses

8x^2-2x^2+3x+2x-25=0

We add all the numbers together, and all the variables

6x^2+5x-25=0

a = 6; b = 5; c = -25;
Δ = b2-4ac
Δ = 52-4·6·(-25)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-25}{2*6}=\frac{-30}{12}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+25}{2*6}=\frac{20}{12}
=1+2/3
$