(6x+4)(6x+4)=

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Solution for (6x+4)(6x+4)= equation: 


Simplifying
(6x + 4)(6x + 4) = 0

Reorder the terms:
(4 + 6x)(6x + 4) = 0

Reorder the terms:
(4 + 6x)(4 + 6x) = 0

Multiply (4 + 6x) * (4 + 6x)
(4(4 + 6x) + 6x * (4 + 6x)) = 0
((4 * 4 + 6x * 4) + 6x * (4 + 6x)) = 0
((16 + 24x) + 6x * (4 + 6x)) = 0
(16 + 24x + (4 * 6x + 6x * 6x)) = 0
(16 + 24x + (24x + 36x2)) = 0

Combine like terms: 24x + 24x = 48x
(16 + 48x + 36x2) = 0

Solving
16 + 48x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 12x + 9x2) = 0

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

Ignore the factor 4.

Subproblem 1
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

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 = {-0.6666666667, -0.6666666667}

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