-7x^2=-67x-30

Solution for -7x^2=-67x-30 equation:

-7x^2=-67x-30

We move all terms to the left:

-7x^2-(-67x-30)=0

We get rid of parentheses

-7x^2+67x+30=0

a = -7; b = 67; c = +30;
Δ = b2-4ac
Δ = 672-4·(-7)·30
Δ = 5329
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5329}=73$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(67)-73}{2*-7}=\frac{-140}{-14}
=+10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(67)+73}{2*-7}=\frac{6}{-14}
=-3/7
$