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Simplifying 50h4 + -32h2 = 0 Reorder the terms: -32h2 + 50h4 = 0 Solving -32h2 + 50h4 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2h2'. 2h2(-16 + 25h2) = 0 Factor a difference between two squares. 2h2((4 + 5h)(-4 + 5h)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'h2' equal to zero and attempt to solve: Simplifying h2 = 0 Solving h2 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h2 = 0 Take the square root of each side: h = {0}Subproblem 2
Set the factor '(4 + 5h)' equal to zero and attempt to solve: Simplifying 4 + 5h = 0 Solving 4 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5h = 0 + -4 5h = 0 + -4 Combine like terms: 0 + -4 = -4 5h = -4 Divide each side by '5'. h = -0.8 Simplifying h = -0.8Subproblem 3
Set the factor '(-4 + 5h)' equal to zero and attempt to solve: Simplifying -4 + 5h = 0 Solving -4 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5h = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5h = 0 + 4 5h = 0 + 4 Combine like terms: 0 + 4 = 4 5h = 4 Divide each side by '5'. h = 0.8 Simplifying h = 0.8Solution
h = {0, -0.8, 0.8}
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