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Simplifying (h + -2)(h + -4) = 0 Reorder the terms: (-2 + h)(h + -4) = 0 Reorder the terms: (-2 + h)(-4 + h) = 0 Multiply (-2 + h) * (-4 + h) (-2(-4 + h) + h(-4 + h)) = 0 ((-4 * -2 + h * -2) + h(-4 + h)) = 0 ((8 + -2h) + h(-4 + h)) = 0 (8 + -2h + (-4 * h + h * h)) = 0 (8 + -2h + (-4h + h2)) = 0 Combine like terms: -2h + -4h = -6h (8 + -6h + h2) = 0 Solving 8 + -6h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (2 + -1h)(4 + -1h) = 0Subproblem 1
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 = 2Subproblem 2
Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 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 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4Solution
h = {2, 4}
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