0=3x^2+4x+1-133

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Solution for 0=3x^2+4x+1-133 equation: 


Simplifying
0 = 3x2 + 4x + 1 + -133

Reorder the terms:
0 = 1 + -133 + 4x + 3x2

Combine like terms: 1 + -133 = -132
0 = -132 + 4x + 3x2

Solving
0 = -132 + 4x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 132 = 132
132 + -4x + -3x2 = -132 + 4x + 3x2 + 132 + -4x + -3x2

Reorder the terms:
132 + -4x + -3x2 = -132 + 132 + 4x + -4x + 3x2 + -3x2

Combine like terms: -132 + 132 = 0
132 + -4x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2
132 + -4x + -3x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
132 + -4x + -3x2 = 0 + 3x2 + -3x2
132 + -4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
132 + -4x + -3x2 = 0

Factor a trinomial.
(6 + -1x)(22 + 3x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(22 + 3x)' equal to zero and attempt to solve:

Simplifying
22 + 3x = 0

Solving
22 + 3x = 0

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

Add '-22' to each side of the equation.
22 + -22 + 3x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 0 + -22
3x = 0 + -22

Combine like terms: 0 + -22 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333
Solution
x = {6, -7.333333333}

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