2x^2-2x-13=-7x-6x^2

Solution for 2x^2-2x-13=-7x-6x^2 equation:

2x^2-2x-13=-7x-6x^2

We move all terms to the left:

2x^2-2x-13-(-7x-6x^2)=0

We get rid of parentheses

2x^2+6x^2+7x-2x-13=0

We add all the numbers together, and all the variables

8x^2+5x-13=0

a = 8; b = 5; c = -13;
Δ = b2-4ac
Δ = 52-4·8·(-13)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-21}{2*8}=\frac{-26}{16}
=-1+5/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+21}{2*8}=\frac{16}{16}
=1
$