15x^2+9x-8=8x-6

Solution for 15x^2+9x-8=8x-6 equation:

15x^2+9x-8=8x-6

We move all terms to the left:

15x^2+9x-8-(8x-6)=0

We get rid of parentheses

15x^2+9x-8x+6-8=0

We add all the numbers together, and all the variables

15x^2+x-2=0

a = 15; b = 1; c = -2;
Δ = b2-4ac
Δ = 12-4·15·(-2)
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{-(1)-11}{2*15}=\frac{-12}{30}
=-2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+11}{2*15}=\frac{10}{30}
=1/3
$