-X^2-62X+63=0

Solution for -X^2-62X+63=0 equation:

Simplifying
-1X2 + -62X + 63 = 0

Reorder the terms:
63 + -62X + -1X2 = 0

Solving
63 + -62X + -1X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -1X)(63 + X) = 0

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1X = 0 + -1
-1X = 0 + -1

Combine like terms: 0 + -1 = -1
-1X = -1

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Subproblem 2
Set the factor '(63 + X)' equal to zero and attempt to solve:

Simplifying
63 + X = 0

Solving
63 + X = 0

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

Add '-63' to each side of the equation.
63 + -63 + X = 0 + -63

Combine like terms: 63 + -63 = 0
0 + X = 0 + -63
X = 0 + -63

Combine like terms: 0 + -63 = -63
X = -63

Simplifying
X = -63
Solution
X = {1, -63}