35x^2+6x=333

Solution for 35x^2+6x=333 equation:

Simplifying
35x2 + 6x = 333

Reorder the terms:
6x + 35x2 = 333

Solving
6x + 35x2 = 333

Solving for variable 'x'.

Reorder the terms:
-333 + 6x + 35x2 = 333 + -333

Combine like terms: 333 + -333 = 0
-333 + 6x + 35x2 = 0

Factor a trinomial.
(-111 + -35x)(3 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

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