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Simplifying 9h3 = h Solving 9h3 = h Solving for variable 'h'. Reorder the terms: -1h + 9h3 = h + -1h Combine like terms: h + -1h = 0 -1h + 9h3 = 0 Factor out the Greatest Common Factor (GCF), 'h'. h(-1 + 9h2) = 0 Factor a difference between two squares. h((1 + 3h)(-1 + 3h)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(1 + 3h)' equal to zero and attempt to solve: Simplifying 1 + 3h = 0 Solving 1 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3h = 0 + -1 3h = 0 + -1 Combine like terms: 0 + -1 = -1 3h = -1 Divide each side by '3'. h = -0.3333333333 Simplifying h = -0.3333333333Subproblem 3
Set the factor '(-1 + 3h)' equal to zero and attempt to solve: Simplifying -1 + 3h = 0 Solving -1 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3h = 0 + 1 3h = 0 + 1 Combine like terms: 0 + 1 = 1 3h = 1 Divide each side by '3'. h = 0.3333333333 Simplifying h = 0.3333333333Solution
h = {0, -0.3333333333, 0.3333333333}
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