(5x+9h)(5x+9h)=0

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Solution for (5x+9h)(5x+9h)=0 equation: 


Simplifying
(5x + 9h)(5x + 9h) = 0

Reorder the terms:
(9h + 5x)(5x + 9h) = 0

Reorder the terms:
(9h + 5x)(9h + 5x) = 0

Multiply (9h + 5x) * (9h + 5x)
(9h * (9h + 5x) + 5x * (9h + 5x)) = 0
((9h * 9h + 5x * 9h) + 5x * (9h + 5x)) = 0

Reorder the terms:
((45hx + 81h2) + 5x * (9h + 5x)) = 0
((45hx + 81h2) + 5x * (9h + 5x)) = 0
(45hx + 81h2 + (9h * 5x + 5x * 5x)) = 0
(45hx + 81h2 + (45hx + 25x2)) = 0

Reorder the terms:
(45hx + 45hx + 81h2 + 25x2) = 0

Combine like terms: 45hx + 45hx = 90hx
(90hx + 81h2 + 25x2) = 0

Solving
90hx + 81h2 + 25x2 = 0

Solving for variable 'h'.

Factor a trinomial.
(9h + 5x)(9h + 5x) = 0


Subproblem 1
Set the factor '(9h + 5x)' equal to zero and attempt to solve:

Simplifying
9h + 5x = 0

Solving
9h + 5x = 0

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

Add '-5x' to each side of the equation.
9h + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
9h + 0 = 0 + -5x
9h = 0 + -5x
Remove the zero:
9h = -5x

Divide each side by '9'.
h = -0.5555555556x

Simplifying
h = -0.5555555556x

Subproblem 2
Set the factor '(9h + 5x)' equal to zero and attempt to solve:

Simplifying
9h + 5x = 0

Solving
9h + 5x = 0

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

Add '-5x' to each side of the equation.
9h + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
9h + 0 = 0 + -5x
9h = 0 + -5x
Remove the zero:
9h = -5x

Divide each side by '9'.
h = -0.5555555556x

Simplifying
h = -0.5555555556x
Solution
h = {-0.5555555556x, -0.5555555556x}

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