x(x+76)=-768

Solution for x(x+76)=-768 equation:

Simplifying
x(x + 76) = -768

Reorder the terms:
x(76 + x) = -768
(76 * x + x * x) = -768
(76x + x2) = -768

Solving
76x + x2 = -768

Solving for variable 'x'.

Reorder the terms:
768 + 76x + x2 = -768 + 768

Combine like terms: -768 + 768 = 0
768 + 76x + x2 = 0

Factor a trinomial.
(64 + x)(12 + x) = 0

Subproblem 1
Set the factor '(64 + x)' equal to zero and attempt to solve:

Simplifying
64 + x = 0

Solving
64 + x = 0

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

Add '-64' to each side of the equation.
64 + -64 + x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + x = 0 + -64
x = 0 + -64

Combine like terms: 0 + -64 = -64
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {-64, -12}