33x^2+33=130x

Solution for 33x^2+33=130x equation:

Simplifying
33x2 + 33 = 130x

Reorder the terms:
33 + 33x2 = 130x

Solving
33 + 33x2 = 130x

Solving for variable 'x'.

Reorder the terms:
33 + -130x + 33x2 = 130x + -130x

Combine like terms: 130x + -130x = 0
33 + -130x + 33x2 = 0

Factor a trinomial.
(3 + -11x)(11 + -3x) = 0

Subproblem 1
Set the factor '(3 + -11x)' equal to zero and attempt to solve:

Simplifying
3 + -11x = 0

Solving
3 + -11x = 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 + -11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = 0 + -3
-11x = 0 + -3

Combine like terms: 0 + -3 = -3
-11x = -3

Divide each side by '-11'.
x = 0.2727272727

Simplifying
x = 0.2727272727
Subproblem 2
Set the factor '(11 + -3x)' equal to zero and attempt to solve:

Simplifying
11 + -3x = 0

Solving
11 + -3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 0 + -11
-3x = 0 + -11

Combine like terms: 0 + -11 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {0.2727272727, 3.666666667}