(6x+3)(2x+8)=

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Solution for (6x+3)(2x+8)= equation:


Simplifying
(6x + 3)(2x + 8) = 0

Reorder the terms:
(3 + 6x)(2x + 8) = 0

Reorder the terms:
(3 + 6x)(8 + 2x) = 0

Multiply (3 + 6x) * (8 + 2x)
(3(8 + 2x) + 6x * (8 + 2x)) = 0
((8 * 3 + 2x * 3) + 6x * (8 + 2x)) = 0
((24 + 6x) + 6x * (8 + 2x)) = 0
(24 + 6x + (8 * 6x + 2x * 6x)) = 0
(24 + 6x + (48x + 12x2)) = 0

Combine like terms: 6x + 48x = 54x
(24 + 54x + 12x2) = 0

Solving
24 + 54x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + 9x + 2x2) = 0

Factor a trinomial.
6((4 + x)(1 + 2x)) = 0

Ignore the factor 6.

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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-4, -0.5}

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