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Simplifying (8 + h)(8 + h) = 0 Multiply (8 + h) * (8 + h) (8(8 + h) + h(8 + h)) = 0 ((8 * 8 + h * 8) + h(8 + h)) = 0 ((64 + 8h) + h(8 + h)) = 0 (64 + 8h + (8 * h + h * h)) = 0 (64 + 8h + (8h + h2)) = 0 Combine like terms: 8h + 8h = 16h (64 + 16h + h2) = 0 Solving 64 + 16h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (8 + h)(8 + h) = 0Subproblem 1
Set the factor '(8 + h)' equal to zero and attempt to solve: Simplifying 8 + h = 0 Solving 8 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + h = 0 + -8 h = 0 + -8 Combine like terms: 0 + -8 = -8 h = -8 Simplifying h = -8Subproblem 2
Set the factor '(8 + h)' equal to zero and attempt to solve: Simplifying 8 + h = 0 Solving 8 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + h = 0 + -8 h = 0 + -8 Combine like terms: 0 + -8 = -8 h = -8 Simplifying h = -8Solution
h = {-8, -8}
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