8x^2+11x+7=6x^2

Solution for 8x^2+11x+7=6x^2 equation:

8x^2+11x+7=6x^2

We move all terms to the left:

8x^2+11x+7-(6x^2)=0

determiningTheFunctionDomain
8x^2-6x^2+11x+7=0

We add all the numbers together, and all the variables

2x^2+11x+7=0

a = 2; b = 11; c = +7;
Δ = b2-4ac
Δ = 112-4·2·7
Δ = 65
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{65}}{2*2}=\frac{-11-\sqrt{65}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{65}}{2*2}=\frac{-11+\sqrt{65}}{4}
$