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Simplifying 0.5(18 + 4h) * h = 26 Reorder the terms for easier multiplication: 0.5h(18 + 4h) = 26 (18 * 0.5h + 4h * 0.5h) = 26 (9h + 2h2) = 26 Solving 9h + 2h2 = 26 Solving for variable 'h'. Reorder the terms: -26 + 9h + 2h2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 9h + 2h2 = 0 Factor a trinomial. (-13 + -2h)(2 + -1h) = 0Subproblem 1
Set the factor '(-13 + -2h)' equal to zero and attempt to solve: Simplifying -13 + -2h = 0 Solving -13 + -2h = 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 + -2h = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2h = 0 + 13 -2h = 0 + 13 Combine like terms: 0 + 13 = 13 -2h = 13 Divide each side by '-2'. h = -6.5 Simplifying h = -6.5Subproblem 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 = {-6.5, 2}
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