(-3x+1+3)(-3x+1-3)=0

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Solution for (-3x+1+3)(-3x+1-3)=0 equation: 


Simplifying
(-3x + 1 + 3)(-3x + 1 + -3) = 0

Reorder the terms:
(1 + 3 + -3x)(-3x + 1 + -3) = 0

Combine like terms: 1 + 3 = 4
(4 + -3x)(-3x + 1 + -3) = 0

Reorder the terms:
(4 + -3x)(1 + -3 + -3x) = 0

Combine like terms: 1 + -3 = -2
(4 + -3x)(-2 + -3x) = 0

Multiply (4 + -3x) * (-2 + -3x)
(4(-2 + -3x) + -3x * (-2 + -3x)) = 0
((-2 * 4 + -3x * 4) + -3x * (-2 + -3x)) = 0
((-8 + -12x) + -3x * (-2 + -3x)) = 0
(-8 + -12x + (-2 * -3x + -3x * -3x)) = 0
(-8 + -12x + (6x + 9x2)) = 0

Combine like terms: -12x + 6x = -6x
(-8 + -6x + 9x2) = 0

Solving
-8 + -6x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-0.6666666667, 1.333333333}

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