18h^2-4wh=0

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Solution for 18h^2-4wh=0 equation:


Simplifying
18h2 + -4wh = 0

Reorder the terms:
-4hw + 18h2 = 0

Solving
-4hw + 18h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2h'.
2h(-2w + 9h) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0

Subproblem 2

Set the factor '(-2w + 9h)' equal to zero and attempt to solve: Simplifying -2w + 9h = 0 Reorder the terms: 9h + -2w = 0 Solving 9h + -2w = 0 Move all terms containing h to the left, all other terms to the right. Add '2w' to each side of the equation. 9h + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 9h + 0 = 0 + 2w 9h = 0 + 2w Remove the zero: 9h = 2w Divide each side by '9'. h = 0.2222222222w Simplifying h = 0.2222222222w

Solution

h = {0, 0.2222222222w}

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