(5x+6h)(5x+6h)=

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Solution for (5x+6h)(5x+6h)= equation: 


Simplifying
(5x + 6h)(5x + 6h) = 0

Reorder the terms:
(6h + 5x)(5x + 6h) = 0

Reorder the terms:
(6h + 5x)(6h + 5x) = 0

Multiply (6h + 5x) * (6h + 5x)
(6h * (6h + 5x) + 5x * (6h + 5x)) = 0
((6h * 6h + 5x * 6h) + 5x * (6h + 5x)) = 0

Reorder the terms:
((30hx + 36h2) + 5x * (6h + 5x)) = 0
((30hx + 36h2) + 5x * (6h + 5x)) = 0
(30hx + 36h2 + (6h * 5x + 5x * 5x)) = 0
(30hx + 36h2 + (30hx + 25x2)) = 0

Reorder the terms:
(30hx + 30hx + 36h2 + 25x2) = 0

Combine like terms: 30hx + 30hx = 60hx
(60hx + 36h2 + 25x2) = 0

Solving
60hx + 36h2 + 25x2 = 0

Solving for variable 'h'.

Factor a trinomial.
(6h + 5x)(6h + 5x) = 0


Subproblem 1
Set the factor '(6h + 5x)' equal to zero and attempt to solve:

Simplifying
6h + 5x = 0

Solving
6h + 5x = 0

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

Add '-5x' to each side of the equation.
6h + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
6h + 0 = 0 + -5x
6h = 0 + -5x
Remove the zero:
6h = -5x

Divide each side by '6'.
h = -0.8333333333x

Simplifying
h = -0.8333333333x

Subproblem 2
Set the factor '(6h + 5x)' equal to zero and attempt to solve:

Simplifying
6h + 5x = 0

Solving
6h + 5x = 0

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

Add '-5x' to each side of the equation.
6h + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
6h + 0 = 0 + -5x
6h = 0 + -5x
Remove the zero:
6h = -5x

Divide each side by '6'.
h = -0.8333333333x

Simplifying
h = -0.8333333333x
Solution
h = {-0.8333333333x, -0.8333333333x}

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