2x^2-15X=-5X^2-2X-6

Solution for 2x^2-15X=-5X^2-2X-6 equation:

2x^2-15x=-5x^2-2x-6

We move all terms to the left:

2x^2-15x-(-5x^2-2x-6)=0

We get rid of parentheses

2x^2+5x^2+2x-15x+6=0

We add all the numbers together, and all the variables

7x^2-13x+6=0

a = 7; b = -13; c = +6;
Δ = b2-4ac
Δ = -132-4·7·6
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-1}{2*7}=\frac{12}{14}
=6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+1}{2*7}=\frac{14}{14}
=1
$