(x+2)(3x-2)=28

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Solution for (x+2)(3x-2)=28 equation: 


Simplifying
(x + 2)(3x + -2) = 28

Reorder the terms:
(2 + x)(3x + -2) = 28

Reorder the terms:
(2 + x)(-2 + 3x) = 28

Multiply (2 + x) * (-2 + 3x)
(2(-2 + 3x) + x(-2 + 3x)) = 28
((-2 * 2 + 3x * 2) + x(-2 + 3x)) = 28
((-4 + 6x) + x(-2 + 3x)) = 28
(-4 + 6x + (-2 * x + 3x * x)) = 28
(-4 + 6x + (-2x + 3x2)) = 28

Combine like terms: 6x + -2x = 4x
(-4 + 4x + 3x2) = 28

Solving
-4 + 4x + 3x2 = 28

Solving for variable 'x'.

Reorder the terms:
-4 + -28 + 4x + 3x2 = 28 + -28

Combine like terms: -4 + -28 = -32
-32 + 4x + 3x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-32 + 4x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
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
Solution
x = {-4, 2.666666667}

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