-x^2=-67x

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

-x^2=-67x

We move all terms to the left:

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

We add all the numbers together, and all the variables

-1x^2-(-67x)=0

We get rid of parentheses

-1x^2+67x=0

a = -1; b = 67; c = 0;
Δ = b2-4ac
Δ = 672-4·(-1)·0
Δ = 4489
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4489}=67$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(67)-67}{2*-1}=\frac{-134}{-2}
=+67
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(67)+67}{2*-1}=\frac{0}{-2}
=0
$