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Simplifying 16h2 + -25h3 + 9h = 0 Reorder the terms: 9h + 16h2 + -25h3 = 0 Solving 9h + 16h2 + -25h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(9 + 16h + -25h2) = 0 Factor a trinomial. h((1 + -1h)(9 + 25h)) = 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 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Subproblem 3
Set the factor '(9 + 25h)' equal to zero and attempt to solve: Simplifying 9 + 25h = 0 Solving 9 + 25h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 25h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 25h = 0 + -9 25h = 0 + -9 Combine like terms: 0 + -9 = -9 25h = -9 Divide each side by '25'. h = -0.36 Simplifying h = -0.36Solution
h = {0, 1, -0.36}
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