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Simplifying 1 + -2h + h2 + -1 + h + 0 = 0 Reorder the terms: 1 + -1 + 0 + -2h + h + h2 = 0 Combine like terms: 1 + -1 = 0 0 + 0 + -2h + h + h2 = 0 0 + -2h + h + h2 = 0 Remove the zero: -2h + h + h2 = 0 Combine like terms: -2h + h = -1h -1h + h2 = 0 Solving -1h + h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h'. h(-1 + h) = 0Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(-1 + h)' equal to zero and attempt to solve: Simplifying -1 + h = 0 Solving -1 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + h = 0 + 1 h = 0 + 1 Combine like terms: 0 + 1 = 1 h = 1 Simplifying h = 1Solution
h = {0, 1}
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