133=(x+1)(3x+1)

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Solution for 133=(x+1)(3x+1) equation: 


Simplifying
133 = (x + 1)(3x + 1)

Reorder the terms:
133 = (1 + x)(3x + 1)

Reorder the terms:
133 = (1 + x)(1 + 3x)

Multiply (1 + x) * (1 + 3x)
133 = (1(1 + 3x) + x(1 + 3x))
133 = ((1 * 1 + 3x * 1) + x(1 + 3x))
133 = ((1 + 3x) + x(1 + 3x))
133 = (1 + 3x + (1 * x + 3x * x))
133 = (1 + 3x + (1x + 3x2))

Combine like terms: 3x + 1x = 4x
133 = (1 + 4x + 3x2)

Solving
133 = 1 + 4x + 3x2

Solving for variable 'x'.

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

Reorder the terms:
132 + -4x + -3x2 = 1 + -1 + 4x + -4x + 3x2 + -3x2

Combine like terms: 1 + -1 = 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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