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Simplifying 16h4 + -81 = 0 Reorder the terms: -81 + 16h4 = 0 Solving -81 + 16h4 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 16h4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 16h4 = 0 + 81 16h4 = 0 + 81 Combine like terms: 0 + 81 = 81 16h4 = 81 Divide each side by '16'. h4 = 5.0625 Simplifying h4 = 5.0625 Reorder the terms: -5.0625 + h4 = 5.0625 + -5.0625 Combine like terms: 5.0625 + -5.0625 = 0.0000 -5.0625 + h4 = 0.0000 Factor a difference between two squares. (2.25 + h2)(-2.25 + h2) = 0.0000 Factor a difference between two squares. (2.25 + h2)((1.5 + h)(-1.5 + h)) = 0.0000Subproblem 1
Set the factor '(2.25 + h2)' equal to zero and attempt to solve: Simplifying 2.25 + h2 = 0 Solving 2.25 + h2 = 0 Move all terms containing h to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + h2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + h2 = 0 + -2.25 h2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 h2 = -2.25 Simplifying h2 = -2.25 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 '(1.5 + h)' equal to zero and attempt to solve: Simplifying 1.5 + h = 0 Solving 1.5 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + h = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + h = 0 + -1.5 h = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 h = -1.5 Simplifying h = -1.5Subproblem 3
Set the factor '(-1.5 + h)' equal to zero and attempt to solve: Simplifying -1.5 + h = 0 Solving -1.5 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + h = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + h = 0 + 1.5 h = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 h = 1.5 Simplifying h = 1.5Solution
h = {-1.5, 1.5}
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