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Simplifying h(h) + 6h = 16 Multiply h * h h2 + 6h = 16 Reorder the terms: 6h + h2 = 16 Solving 6h + h2 = 16 Solving for variable 'h'. Reorder the terms: -16 + 6h + h2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 6h + h2 = 0 Factor a trinomial. (-8 + -1h)(2 + -1h) = 0Subproblem 1
Set the factor '(-8 + -1h)' equal to zero and attempt to solve: Simplifying -8 + -1h = 0 Solving -8 + -1h = 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 + -1h = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1h = 0 + 8 -1h = 0 + 8 Combine like terms: 0 + 8 = 8 -1h = 8 Divide each side by '-1'. h = -8 Simplifying h = -8Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {-8, 2}
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