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

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


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

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

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

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

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

Solving
26 = 2 + 7x + 6x2

Solving for variable 'x'.

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

Reorder the terms:
24 + -7x + -6x2 = 2 + -2 + 7x + -7x + 6x2 + -6x2

Combine like terms: 2 + -2 = 0
24 + -7x + -6x2 = 0 + 7x + -7x + 6x2 + -6x2
24 + -7x + -6x2 = 7x + -7x + 6x2 + -6x2

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

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

Factor a trinomial.
(3 + -2x)(8 + 3x) = 0


Subproblem 1
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

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 = {1.5, -2.666666667}

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