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Simplifying (2h + 1)(h + -3) = 0 Reorder the terms: (1 + 2h)(h + -3) = 0 Reorder the terms: (1 + 2h)(-3 + h) = 0 Multiply (1 + 2h) * (-3 + h) (1(-3 + h) + 2h * (-3 + h)) = 0 ((-3 * 1 + h * 1) + 2h * (-3 + h)) = 0 ((-3 + 1h) + 2h * (-3 + h)) = 0 (-3 + 1h + (-3 * 2h + h * 2h)) = 0 (-3 + 1h + (-6h + 2h2)) = 0 Combine like terms: 1h + -6h = -5h (-3 + -5h + 2h2) = 0 Solving -3 + -5h + 2h2 = 0 Solving for variable 'h'. Factor a trinomial. (-1 + -2h)(3 + -1h) = 0Subproblem 1
Set the factor '(-1 + -2h)' equal to zero and attempt to solve: Simplifying -1 + -2h = 0 Solving -1 + -2h = 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 + -2h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2h = 0 + 1 -2h = 0 + 1 Combine like terms: 0 + 1 = 1 -2h = 1 Divide each side by '-2'. h = -0.5 Simplifying h = -0.5Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {-0.5, 3}
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