(6x+8)(3x+38)=

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Solution for (6x+8)(3x+38)= equation: 


Simplifying
(6x + 8)(3x + 38) = 0

Reorder the terms:
(8 + 6x)(3x + 38) = 0

Reorder the terms:
(8 + 6x)(38 + 3x) = 0

Multiply (8 + 6x) * (38 + 3x)
(8(38 + 3x) + 6x * (38 + 3x)) = 0
((38 * 8 + 3x * 8) + 6x * (38 + 3x)) = 0
((304 + 24x) + 6x * (38 + 3x)) = 0
(304 + 24x + (38 * 6x + 3x * 6x)) = 0
(304 + 24x + (228x + 18x2)) = 0

Combine like terms: 24x + 228x = 252x
(304 + 252x + 18x2) = 0

Solving
304 + 252x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(152 + 126x + 9x2) = 0

Factor a trinomial.
2((38 + 3x)(4 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(38 + 3x)' equal to zero and attempt to solve:

Simplifying
38 + 3x = 0

Solving
38 + 3x = 0

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

Add '-38' to each side of the equation.
38 + -38 + 3x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 3x = 0 + -38
3x = 0 + -38

Combine like terms: 0 + -38 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

Subproblem 2
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {-12.66666667, -1.333333333}

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