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Simplifying -1h(h + -3) + 1 = 4h + -1 Reorder the terms: -1h(-3 + h) + 1 = 4h + -1 (-3 * -1h + h * -1h) + 1 = 4h + -1 (3h + -1h2) + 1 = 4h + -1 Reorder the terms: 1 + 3h + -1h2 = 4h + -1 Reorder the terms: 1 + 3h + -1h2 = -1 + 4h Solving 1 + 3h + -1h2 = -1 + 4h Solving for variable 'h'. Reorder the terms: 1 + 1 + 3h + -4h + -1h2 = -1 + 4h + 1 + -4h Combine like terms: 1 + 1 = 2 2 + 3h + -4h + -1h2 = -1 + 4h + 1 + -4h Combine like terms: 3h + -4h = -1h 2 + -1h + -1h2 = -1 + 4h + 1 + -4h Reorder the terms: 2 + -1h + -1h2 = -1 + 1 + 4h + -4h Combine like terms: -1 + 1 = 0 2 + -1h + -1h2 = 0 + 4h + -4h 2 + -1h + -1h2 = 4h + -4h Combine like terms: 4h + -4h = 0 2 + -1h + -1h2 = 0 Factor a trinomial. (1 + -1h)(2 + h) = 0Subproblem 1
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Subproblem 2
Set the factor '(2 + h)' equal to zero and attempt to solve: Simplifying 2 + h = 0 Solving 2 + h = 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 + h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + h = 0 + -2 h = 0 + -2 Combine like terms: 0 + -2 = -2 h = -2 Simplifying h = -2Solution
h = {1, -2}
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