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Simplifying 7h4 + 9h3 + 2h2 = 0 Reorder the terms: 2h2 + 9h3 + 7h4 = 0 Solving 2h2 + 9h3 + 7h4 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h2'. h2(2 + 9h + 7h2) = 0 Factor a trinomial. h2((1 + h)(2 + 7h)) = 0Subproblem 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 '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 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 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1Subproblem 3
Set the factor '(2 + 7h)' equal to zero and attempt to solve: Simplifying 2 + 7h = 0 Solving 2 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7h = 0 + -2 7h = 0 + -2 Combine like terms: 0 + -2 = -2 7h = -2 Divide each side by '7'. h = -0.2857142857 Simplifying h = -0.2857142857Solution
h = {0, -1, -0.2857142857}
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