(x+2)(3x-1)=6

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Solution for (x+2)(3x-1)=6 equation: 


Simplifying
(x + 2)(3x + -1) = 6

Reorder the terms:
(2 + x)(3x + -1) = 6

Reorder the terms:
(2 + x)(-1 + 3x) = 6

Multiply (2 + x) * (-1 + 3x)
(2(-1 + 3x) + x(-1 + 3x)) = 6
((-1 * 2 + 3x * 2) + x(-1 + 3x)) = 6
((-2 + 6x) + x(-1 + 3x)) = 6
(-2 + 6x + (-1 * x + 3x * x)) = 6
(-2 + 6x + (-1x + 3x2)) = 6

Combine like terms: 6x + -1x = 5x
(-2 + 5x + 3x2) = 6

Solving
-2 + 5x + 3x2 = 6

Solving for variable 'x'.

Reorder the terms:
-2 + -6 + 5x + 3x2 = 6 + -6

Combine like terms: -2 + -6 = -8
-8 + 5x + 3x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-8 + 5x + 3x2 = 0

Factor a trinomial.
(-8 + -3x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {-2.666666667, 1}

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