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Simplifying 8h + 4 = -4h2 Reorder the terms: 4 + 8h = -4h2 Solving 4 + 8h = -4h2 Solving for variable 'h'. Combine like terms: -4h2 + 4h2 = 0 4 + 8h + 4h2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + 2h + h2) = 0 Factor a trinomial. 4((1 + h)(1 + h)) = 0 Ignore the factor 4.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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