7u^2-70u-77=0

Solution for 7u^2-70u-77=0 equation:

Simplifying
7u2 + -70u + -77 = 0

Reorder the terms:
-77 + -70u + 7u2 = 0

Solving
-77 + -70u + 7u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-11 + -10u + u2) = 0

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

Ignore the factor 7.
Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve:

Simplifying
-1 + -1u = 0

Solving
-1 + -1u = 0

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

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

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

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

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

Simplifying
u = -1
Subproblem 2
Set the factor '(11 + -1u)' equal to zero and attempt to solve:

Simplifying
11 + -1u = 0

Solving
11 + -1u = 0

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

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

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

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

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

Simplifying
u = 11
Solution
u = {-1, 11}