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Simplifying 6h3(h2 + -2) = 0 Reorder the terms: 6h3(-2 + h2) = 0 (-2 * 6h3 + h2 * 6h3) = 0 (-12h3 + 6h5) = 0 Solving -12h3 + 6h5 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '6h3'. 6h3(-2 + h2) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'h3' equal to zero and attempt to solve: Simplifying h3 = 0 Solving h3 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h3 = 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 '(-2 + h2)' equal to zero and attempt to solve: Simplifying -2 + h2 = 0 Solving -2 + h2 = 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 + h2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + h2 = 0 + 2 h2 = 0 + 2 Combine like terms: 0 + 2 = 2 h2 = 2 Simplifying h2 = 2 Take the square root of each side: h = {-1.414213562, 1.414213562}Solution
h = {-1.414213562, 1.414213562}
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