35x^2+216x+333=0

Solution for 35x^2+216x+333=0 equation:

Simplifying
35x2 + 216x + 333 = 0

Reorder the terms:
333 + 216x + 35x2 = 0

Solving
333 + 216x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(111 + 35x)(3 + x) = 0

Subproblem 1
Set the factor '(111 + 35x)' equal to zero and attempt to solve:

Simplifying
111 + 35x = 0

Solving
111 + 35x = 0

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

Add '-111' to each side of the equation.
111 + -111 + 35x = 0 + -111

Combine like terms: 111 + -111 = 0
0 + 35x = 0 + -111
35x = 0 + -111

Combine like terms: 0 + -111 = -111
35x = -111

Divide each side by '35'.
x = -3.171428571

Simplifying
x = -3.171428571
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-3.171428571, -3}