(6x+9h)(6x+9h)=

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Solution for (6x+9h)(6x+9h)= equation: 


Simplifying
(6x + 9h)(6x + 9h) = 0

Reorder the terms:
(9h + 6x)(6x + 9h) = 0

Reorder the terms:
(9h + 6x)(9h + 6x) = 0

Multiply (9h + 6x) * (9h + 6x)
(9h * (9h + 6x) + 6x * (9h + 6x)) = 0
((9h * 9h + 6x * 9h) + 6x * (9h + 6x)) = 0

Reorder the terms:
((54hx + 81h2) + 6x * (9h + 6x)) = 0
((54hx + 81h2) + 6x * (9h + 6x)) = 0
(54hx + 81h2 + (9h * 6x + 6x * 6x)) = 0
(54hx + 81h2 + (54hx + 36x2)) = 0

Reorder the terms:
(54hx + 54hx + 81h2 + 36x2) = 0

Combine like terms: 54hx + 54hx = 108hx
(108hx + 81h2 + 36x2) = 0

Solving
108hx + 81h2 + 36x2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '9'.
9(12hx + 9h2 + 4x2) = 0

Factor a trinomial.
9((3h + 2x)(3h + 2x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(3h + 2x)' equal to zero and attempt to solve:

Simplifying
3h + 2x = 0

Solving
3h + 2x = 0

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

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

Combine like terms: 2x + -2x = 0
3h + 0 = 0 + -2x
3h = 0 + -2x
Remove the zero:
3h = -2x

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

Simplifying
h = -0.6666666667x

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

Simplifying
3h + 2x = 0

Solving
3h + 2x = 0

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

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

Combine like terms: 2x + -2x = 0
3h + 0 = 0 + -2x
3h = 0 + -2x
Remove the zero:
3h = -2x

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

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

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