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Simplifying (6h + 5)(h + 7) = 0 Reorder the terms: (5 + 6h)(h + 7) = 0 Reorder the terms: (5 + 6h)(7 + h) = 0 Multiply (5 + 6h) * (7 + h) (5(7 + h) + 6h * (7 + h)) = 0 ((7 * 5 + h * 5) + 6h * (7 + h)) = 0 ((35 + 5h) + 6h * (7 + h)) = 0 (35 + 5h + (7 * 6h + h * 6h)) = 0 (35 + 5h + (42h + 6h2)) = 0 Combine like terms: 5h + 42h = 47h (35 + 47h + 6h2) = 0 Solving 35 + 47h + 6h2 = 0 Solving for variable 'h'. Factor a trinomial. (7 + h)(5 + 6h) = 0Subproblem 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 '(5 + 6h)' equal to zero and attempt to solve: Simplifying 5 + 6h = 0 Solving 5 + 6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6h = 0 + -5 6h = 0 + -5 Combine like terms: 0 + -5 = -5 6h = -5 Divide each side by '6'. h = -0.8333333333 Simplifying h = -0.8333333333Solution
h = {-7, -0.8333333333}
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