33x(x+5)-4950=0

Solution for 33x(x+5)-4950=0 equation:

Simplifying
33x(x + 5) + -4950 = 0

Reorder the terms:
33x(5 + x) + -4950 = 0
(5 * 33x + x * 33x) + -4950 = 0
(165x + 33x2) + -4950 = 0

Reorder the terms:
-4950 + 165x + 33x2 = 0

Solving
-4950 + 165x + 33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '33'.
33(-150 + 5x + x2) = 0

Factor a trinomial.
33((-15 + -1x)(10 + -1x)) = 0

Ignore the factor 33.
Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-15, 10}