3x^2+x-62=7

Solution for 3x^2+x-62=7 equation:

3x^2+x-62=7

We move all terms to the left:

3x^2+x-62-(7)=0

We add all the numbers together, and all the variables

3x^2+x-69=0

a = 3; b = 1; c = -69;
Δ = b2-4ac
Δ = 12-4·3·(-69)
Δ = 829
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{-(1)-\sqrt{829}}{2*3}=\frac{-1-\sqrt{829}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{829}}{2*3}=\frac{-1+\sqrt{829}}{6}
$