(3x+2)*(2x+1)=26

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Solution for (3x+2)*(2x+1)=26 equation: 


Simplifying
(3x + 2)(2x + 1) = 26

Reorder the terms:
(2 + 3x)(2x + 1) = 26

Reorder the terms:
(2 + 3x)(1 + 2x) = 26

Multiply (2 + 3x) * (1 + 2x)
(2(1 + 2x) + 3x * (1 + 2x)) = 26
((1 * 2 + 2x * 2) + 3x * (1 + 2x)) = 26
((2 + 4x) + 3x * (1 + 2x)) = 26
(2 + 4x + (1 * 3x + 2x * 3x)) = 26
(2 + 4x + (3x + 6x2)) = 26

Combine like terms: 4x + 3x = 7x
(2 + 7x + 6x2) = 26

Solving
2 + 7x + 6x2 = 26

Solving for variable 'x'.

Reorder the terms:
2 + -26 + 7x + 6x2 = 26 + -26

Combine like terms: 2 + -26 = -24
-24 + 7x + 6x2 = 26 + -26

Combine like terms: 26 + -26 = 0
-24 + 7x + 6x2 = 0

Factor a trinomial.
(-8 + -3x)(3 + -2x) = 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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-2.666666667, 1.5}

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