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Simplifying (h + 3)(h + 4) = 0 Reorder the terms: (3 + h)(h + 4) = 0 Reorder the terms: (3 + h)(4 + h) = 0 Multiply (3 + h) * (4 + h) (3(4 + h) + h(4 + h)) = 0 ((4 * 3 + h * 3) + h(4 + h)) = 0 ((12 + 3h) + h(4 + h)) = 0 (12 + 3h + (4 * h + h * h)) = 0 (12 + 3h + (4h + h2)) = 0 Combine like terms: 3h + 4h = 7h (12 + 7h + h2) = 0 Solving 12 + 7h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (4 + h)(3 + h) = 0Subproblem 1
Set the factor '(4 + h)' equal to zero and attempt to solve: Simplifying 4 + h = 0 Solving 4 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + h = 0 + -4 h = 0 + -4 Combine like terms: 0 + -4 = -4 h = -4 Simplifying h = -4Subproblem 2
Set the factor '(3 + h)' equal to zero and attempt to solve: Simplifying 3 + h = 0 Solving 3 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + h = 0 + -3 h = 0 + -3 Combine like terms: 0 + -3 = -3 h = -3 Simplifying h = -3Solution
h = {-4, -3}
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