x^2+77x=0

Solution for x^2+77x=0 equation:

Simplifying
x2 + 77x = 0

Reorder the terms:
77x + x2 = 0

Solving
77x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(77 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(77 + x)' equal to zero and attempt to solve:

Simplifying
77 + x = 0

Solving
77 + x = 0

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

Add '-77' to each side of the equation.
77 + -77 + x = 0 + -77

Combine like terms: 77 + -77 = 0
0 + x = 0 + -77
x = 0 + -77

Combine like terms: 0 + -77 = -77
x = -77

Simplifying
x = -77
Solution
x = {0, -77}