(-3x+2)(x+1)=2

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Solution for (-3x+2)(x+1)=2 equation: 


Simplifying
(-3x + 2)(x + 1) = 2

Reorder the terms:
(2 + -3x)(x + 1) = 2

Reorder the terms:
(2 + -3x)(1 + x) = 2

Multiply (2 + -3x) * (1 + x)
(2(1 + x) + -3x * (1 + x)) = 2
((1 * 2 + x * 2) + -3x * (1 + x)) = 2
((2 + 2x) + -3x * (1 + x)) = 2
(2 + 2x + (1 * -3x + x * -3x)) = 2
(2 + 2x + (-3x + -3x2)) = 2

Combine like terms: 2x + -3x = -1x
(2 + -1x + -3x2) = 2

Add '-2' to each side of the equation.
2 + -1x + -2 + -3x2 = 2 + -2

Reorder the terms:
2 + -2 + -1x + -3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -1x + -3x2 = 2 + -2
-1x + -3x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-1x + -3x2 = 0

Solving
-1x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 3x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {0, -0.3333333333}

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