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Simplifying -2h2 + -28h + -98 = 0 Reorder the terms: -98 + -28h + -2h2 = 0 Solving -98 + -28h + -2h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '-2'. -2(49 + 14h + h2) = 0 Factor a trinomial. -2((7 + h)(7 + h)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7Subproblem 2
Set the factor '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7Solution
h = {-7, -7}
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