-1(x^2-4x-77)=0

Solution for -1(x^2-4x-77)=0 equation:

Simplifying
-1(x2 + -4x + -77) = 0

Reorder the terms:
-1(-77 + -4x + x2) = 0
(-77 * -1 + -4x * -1 + x2 * -1) = 0
(77 + 4x + -1x2) = 0

Solving
77 + 4x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -1x)(7 + x) = 0

Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {11, -7}