-1=3x^2+10x+7

Solution for -1=3x^2+10x+7 equation:

-1=3x^2+10x+7

We move all terms to the left:

-1-(3x^2+10x+7)=0

We get rid of parentheses

-3x^2-10x-7-1=0

We add all the numbers together, and all the variables

-3x^2-10x-8=0

a = -3; b = -10; c = -8;
Δ = b2-4ac
Δ = -102-4·(-3)·(-8)
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-2}{2*-3}=\frac{8}{-6}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+2}{2*-3}=\frac{12}{-6}
=-2
$