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Simplifying 4h3 + 28h2 + 49h = 0 Reorder the terms: 49h + 28h2 + 4h3 = 0 Solving 49h + 28h2 + 4h3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(49 + 28h + 4h2) = 0 Factor a trinomial. h((7 + 2h)(7 + 2h)) = 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 '(7 + 2h)' equal to zero and attempt to solve: Simplifying 7 + 2h = 0 Solving 7 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h = 0 + -7 2h = 0 + -7 Combine like terms: 0 + -7 = -7 2h = -7 Divide each side by '2'. h = -3.5 Simplifying h = -3.5Subproblem 3
Set the factor '(7 + 2h)' equal to zero and attempt to solve: Simplifying 7 + 2h = 0 Solving 7 + 2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h = 0 + -7 2h = 0 + -7 Combine like terms: 0 + -7 = -7 2h = -7 Divide each side by '2'. h = -3.5 Simplifying h = -3.5Solution
h = {0, -3.5, -3.5}
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