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Simplifying (h2k2 + 4k2) + (h2k + 4k) = 0 Remove parenthesis around (h2k2 + 4k2) h2k2 + 4k2 + (h2k + 4k) = 0 Remove parenthesis around (h2k + 4k) h2k2 + 4k2 + h2k + 4k = 0 Reorder the terms: h2k + h2k2 + 4k + 4k2 = 0 Solving h2k + h2k2 + 4k + 4k2 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4k' to each side of the equation. h2k + h2k2 + 4k + -4k + 4k2 = 0 + -4k Combine like terms: 4k + -4k = 0 h2k + h2k2 + 0 + 4k2 = 0 + -4k h2k + h2k2 + 4k2 = 0 + -4k Remove the zero: h2k + h2k2 + 4k2 = -4k Add '-4k2' to each side of the equation. h2k + h2k2 + 4k2 + -4k2 = -4k + -4k2 Combine like terms: 4k2 + -4k2 = 0 h2k + h2k2 + 0 = -4k + -4k2 h2k + h2k2 = -4k + -4k2 Reorder the terms: h2k + h2k2 + 4k + 4k2 = -4k + 4k + -4k2 + 4k2 Combine like terms: -4k + 4k = 0 h2k + h2k2 + 4k + 4k2 = 0 + -4k2 + 4k2 h2k + h2k2 + 4k + 4k2 = -4k2 + 4k2 Combine like terms: -4k2 + 4k2 = 0 h2k + h2k2 + 4k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(h2 + h2k + 4 + 4k) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing h to the left, all other terms to the right. Add '-1k' to each side of the equation. k + -1k = 0 + -1k Remove the zero: 0 = -1k Simplifying 0 = -1k 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 '(h2 + h2k + 4 + 4k)' equal to zero and attempt to solve: Simplifying h2 + h2k + 4 + 4k = 0 Reorder the terms: 4 + h2 + h2k + 4k = 0 Solving 4 + h2 + h2k + 4k = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + h2 + h2k + -4 + 4k = 0 + -4 Reorder the terms: 4 + -4 + h2 + h2k + 4k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + h2 + h2k + 4k = 0 + -4 h2 + h2k + 4k = 0 + -4 Combine like terms: 0 + -4 = -4 h2 + h2k + 4k = -4 Add '-4k' to each side of the equation. h2 + h2k + 4k + -4k = -4 + -4k Combine like terms: 4k + -4k = 0 h2 + h2k + 0 = -4 + -4k h2 + h2k = -4 + -4k 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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