(4x+26)(3x+2)=

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Solution for (4x+26)(3x+2)= equation: 


Simplifying
(4x + 26)(3x + 2) = 0

Reorder the terms:
(26 + 4x)(3x + 2) = 0

Reorder the terms:
(26 + 4x)(2 + 3x) = 0

Multiply (26 + 4x) * (2 + 3x)
(26(2 + 3x) + 4x * (2 + 3x)) = 0
((2 * 26 + 3x * 26) + 4x * (2 + 3x)) = 0
((52 + 78x) + 4x * (2 + 3x)) = 0
(52 + 78x + (2 * 4x + 3x * 4x)) = 0
(52 + 78x + (8x + 12x2)) = 0

Combine like terms: 78x + 8x = 86x
(52 + 86x + 12x2) = 0

Solving
52 + 86x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(26 + 43x + 6x2) = 0

Factor a trinomial.
2((13 + 2x)(2 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-6.5, -0.6666666667}

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