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Simplifying 6h2 + 77h + -13 = 0 Reorder the terms: -13 + 77h + 6h2 = 0 Solving -13 + 77h + 6h2 = 0 Solving for variable 'h'. Factor a trinomial. (-13 + -1h)(1 + -6h) = 0Subproblem 1
Set the factor '(-13 + -1h)' equal to zero and attempt to solve: Simplifying -13 + -1h = 0 Solving -13 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1h = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1h = 0 + 13 -1h = 0 + 13 Combine like terms: 0 + 13 = 13 -1h = 13 Divide each side by '-1'. h = -13 Simplifying h = -13Subproblem 2
Set the factor '(1 + -6h)' equal to zero and attempt to solve: Simplifying 1 + -6h = 0 Solving 1 + -6h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6h = 0 + -1 -6h = 0 + -1 Combine like terms: 0 + -1 = -1 -6h = -1 Divide each side by '-6'. h = 0.1666666667 Simplifying h = 0.1666666667Solution
h = {-13, 0.1666666667}
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