-3784-45x=-x^2

Solution for -3784-45x=-x^2 equation:

Simplifying
-3784 + -45x = -1x2

Solving
-3784 + -45x = -1x2

Solving for variable 'x'.

Combine like terms: -1x2 + x2 = 0
-3784 + -45x + x2 = 0

Factor a trinomial.
(-43 + -1x)(88 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve:

Simplifying
-43 + -1x = 0

Solving
-43 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '43' to each side of the equation.
-43 + 43 + -1x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -1x = 0 + 43
-1x = 0 + 43

Combine like terms: 0 + 43 = 43
-1x = 43

Divide each side by '-1'.
x = -43

Simplifying
x = -43
Subproblem 2
Set the factor '(88 + -1x)' equal to zero and attempt to solve:

Simplifying
88 + -1x = 0

Solving
88 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-88' to each side of the equation.
88 + -88 + -1x = 0 + -88

Combine like terms: 88 + -88 = 0
0 + -1x = 0 + -88
-1x = 0 + -88

Combine like terms: 0 + -88 = -88
-1x = -88

Divide each side by '-1'.
x = 88

Simplifying
x = 88
Solution
x = {-43, 88}