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Simplifying 12h + -3h2 + h + -4 = 0 Reorder the terms: -4 + 12h + h + -3h2 = 0 Combine like terms: 12h + h = 13h -4 + 13h + -3h2 = 0 Solving -4 + 13h + -3h2 = 0 Solving for variable 'h'. Factor a trinomial. (-4 + h)(1 + -3h) = 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 '(1 + -3h)' equal to zero and attempt to solve: Simplifying 1 + -3h = 0 Solving 1 + -3h = 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 + -3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3h = 0 + -1 -3h = 0 + -1 Combine like terms: 0 + -1 = -1 -3h = -1 Divide each side by '-3'. h = 0.3333333333 Simplifying h = 0.3333333333Solution
h = {4, 0.3333333333}
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