5x^2+50x+33=-12

Solution for 5x^2+50x+33=-12 equation:

Simplifying
5x2 + 50x + 33 = -12

Reorder the terms:
33 + 50x + 5x2 = -12

Solving
33 + 50x + 5x2 = -12

Solving for variable 'x'.

Reorder the terms:
33 + 12 + 50x + 5x2 = -12 + 12

Combine like terms: 33 + 12 = 45
45 + 50x + 5x2 = -12 + 12

Combine like terms: -12 + 12 = 0
45 + 50x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(9 + 10x + x2) = 0

Factor a trinomial.
5((9 + x)(1 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -1}