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Simplifying 10h3n3 + -2hn2 + 14hn = 0 Reorder the terms: 14hn + -2hn2 + 10h3n3 = 0 Solving 14hn + -2hn2 + 10h3n3 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '2hn'. 2hn(7 + -1n + 5h2n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'hn' equal to zero and attempt to solve: Simplifying hn = 0 Solving hn = 0 Move all terms containing h to the left, all other terms to the right. Simplifying hn = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -1n + 5h2n2)' equal to zero and attempt to solve: Simplifying 7 + -1n + 5h2n2 = 0 Reorder the terms: 7 + 5h2n2 + -1n = 0 Solving 7 + 5h2n2 + -1n = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 5h2n2 + -7 + -1n = 0 + -7 Reorder the terms: 7 + -7 + 5h2n2 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5h2n2 + -1n = 0 + -7 5h2n2 + -1n = 0 + -7 Combine like terms: 0 + -7 = -7 5h2n2 + -1n = -7 Add 'n' to each side of the equation. 5h2n2 + -1n + n = -7 + n Combine like terms: -1n + n = 0 5h2n2 + 0 = -7 + n 5h2n2 = -7 + n Divide each side by '5n2'. h2 = -1.4n-2 + 0.2n-1 Simplifying h2 = -1.4n-2 + 0.2n-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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