17x*x+33x=0

Solution for 17x*x+33x=0 equation:

Simplifying
17x * x + 33x = 0

Multiply x * x
17x2 + 33x = 0

Reorder the terms:
33x + 17x2 = 0

Solving
33x + 17x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(33 + 17x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(33 + 17x)' equal to zero and attempt to solve:

Simplifying
33 + 17x = 0

Solving
33 + 17x = 0

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

Add '-33' to each side of the equation.
33 + -33 + 17x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 17x = 0 + -33
17x = 0 + -33

Combine like terms: 0 + -33 = -33
17x = -33

Divide each side by '17'.
x = -1.941176471

Simplifying
x = -1.941176471
Solution
x = {0, -1.941176471}