5x^2+55x=-50

Solution for 5x^2+55x=-50 equation:

Simplifying
5x2 + 55x = -50

Reorder the terms:
55x + 5x2 = -50

Solving
55x + 5x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + 55x + 5x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 55x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(10 + 11x + x2) = 0

Factor a trinomial.
5((10 + x)(1 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-10, -1}