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Simplifying 10h3n3 + -2hn2 = 14hn Reorder the terms: -2hn2 + 10h3n3 = 14hn Solving -2hn2 + 10h3n3 = 14hn Solving for variable 'h'. Reorder the terms: -14hn + -2hn2 + 10h3n3 = 14hn + -14hn Combine like terms: 14hn + -14hn = 0 -14hn + -2hn2 + 10h3n3 = 0 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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