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

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


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

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

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

Multiply (2 + 6x) * (8 + 2x)
(2(8 + 2x) + 6x * (8 + 2x)) = 0
((8 * 2 + 2x * 2) + 6x * (8 + 2x)) = 0
((16 + 4x) + 6x * (8 + 2x)) = 0
(16 + 4x + (8 * 6x + 2x * 6x)) = 0
(16 + 4x + (48x + 12x2)) = 0

Combine like terms: 4x + 48x = 52x
(16 + 52x + 12x2) = 0

Solving
16 + 52x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 13x + 3x2) = 0

Factor a trinomial.
4((4 + x)(1 + 3x)) = 0

Ignore the factor 4.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-4, -0.3333333333}

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