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Simplifying H4 + 5 = 9 Reorder the terms: 5 + H4 = 9 Solving 5 + H4 = 9 Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + H4 = 9 + -5 Combine like terms: 5 + -5 = 0 0 + H4 = 9 + -5 H4 = 9 + -5 Combine like terms: 9 + -5 = 4 H4 = 4 Simplifying H4 = 4 Reorder the terms: -4 + H4 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + H4 = 0 Factor a difference between two squares. (2 + H2)(-2 + H2) = 0Subproblem 1
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 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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