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Simplifying 2h4 = 162 Solving 2h4 = 162 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by '2'. h4 = 81 Simplifying h4 = 81 Reorder the terms: -81 + h4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + h4 = 0 Factor a difference between two squares. (9 + h2)(-9 + h2) = 0 Factor a difference between two squares. (9 + h2)((3 + h)(-3 + h)) = 0Subproblem 1
Set the factor '(9 + h2)' equal to zero and attempt to solve: Simplifying 9 + h2 = 0 Solving 9 + h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + h2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + h2 = 0 + -9 h2 = 0 + -9 Combine like terms: 0 + -9 = -9 h2 = -9 Simplifying h2 = -9 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 '(3 + h)' equal to zero and attempt to solve: Simplifying 3 + h = 0 Solving 3 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + h = 0 + -3 h = 0 + -3 Combine like terms: 0 + -3 = -3 h = -3 Simplifying h = -3Subproblem 3
Set the factor '(-3 + h)' equal to zero and attempt to solve: Simplifying -3 + h = 0 Solving -3 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + h = 0 + 3 h = 0 + 3 Combine like terms: 0 + 3 = 3 h = 3 Simplifying h = 3Solution
h = {-3, 3}
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