(9h-11k)(9h-11k)=

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Solution for (9h-11k)(9h-11k)= equation: 


Simplifying
(9h + -11k)(9h + -11k) = 0

Multiply (9h + -11k) * (9h + -11k)
(9h * (9h + -11k) + -11k * (9h + -11k)) = 0
((9h * 9h + -11k * 9h) + -11k * (9h + -11k)) = 0

Reorder the terms:
((-99hk + 81h2) + -11k * (9h + -11k)) = 0
((-99hk + 81h2) + -11k * (9h + -11k)) = 0
(-99hk + 81h2 + (9h * -11k + -11k * -11k)) = 0
(-99hk + 81h2 + (-99hk + 121k2)) = 0

Reorder the terms:
(-99hk + -99hk + 81h2 + 121k2) = 0

Combine like terms: -99hk + -99hk = -198hk
(-198hk + 81h2 + 121k2) = 0

Solving
-198hk + 81h2 + 121k2 = 0

Solving for variable 'h'.

Factor a trinomial.
(9h + -11k)(9h + -11k) = 0


Subproblem 1
Set the factor '(9h + -11k)' equal to zero and attempt to solve:

Simplifying
9h + -11k = 0

Solving
9h + -11k = 0

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

Add '11k' to each side of the equation.
9h + -11k + 11k = 0 + 11k

Combine like terms: -11k + 11k = 0
9h + 0 = 0 + 11k
9h = 0 + 11k
Remove the zero:
9h = 11k

Divide each side by '9'.
h = 1.222222222k

Simplifying
h = 1.222222222k

Subproblem 2
Set the factor '(9h + -11k)' equal to zero and attempt to solve:

Simplifying
9h + -11k = 0

Solving
9h + -11k = 0

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

Add '11k' to each side of the equation.
9h + -11k + 11k = 0 + 11k

Combine like terms: -11k + 11k = 0
9h + 0 = 0 + 11k
9h = 0 + 11k
Remove the zero:
9h = 11k

Divide each side by '9'.
h = 1.222222222k

Simplifying
h = 1.222222222k
Solution
h = {1.222222222k, 1.222222222k}

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