2x^2+200x+198=0

Solution for 2x^2+200x+198=0 equation:

Simplifying
2x2 + 200x + 198 = 0

Reorder the terms:
198 + 200x + 2x2 = 0

Solving
198 + 200x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(99 + 100x + x2) = 0

Factor a trinomial.
2((99 + x)(1 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(99 + x)' equal to zero and attempt to solve:

Simplifying
99 + x = 0

Solving
99 + x = 0

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

Add '-99' to each side of the equation.
99 + -99 + x = 0 + -99

Combine like terms: 99 + -99 = 0
0 + x = 0 + -99
x = 0 + -99

Combine like terms: 0 + -99 = -99
x = -99

Simplifying
x = -99
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 = {-99, -1}