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

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


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

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

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

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

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

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

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

Reorder the terms:
0 = -2 + 2 + -1x + 3x2

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

Solving
0 = -1x + 3x2

Solving for variable 'x'.
Remove the zero:
x + -3x2 = -1x + 3x2 + x + -3x2

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

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

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

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


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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