3x2+5x=5x2-8x

Solution for 3x2+5x=5x2-8x equation:

3x^2+5x=5x^2-8x

We move all terms to the left:

3x^2+5x-(5x^2-8x)=0

We get rid of parentheses

3x^2-5x^2+5x+8x=0

We add all the numbers together, and all the variables

-2x^2+13x=0

a = -2; b = 13; c = 0;
Δ = b2-4ac
Δ = 132-4·(-2)·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-13}{2*-2}=\frac{-26}{-4}
=6+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+13}{2*-2}=\frac{0}{-4}
=0
$