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Simplifying (h + -4)(h + -10) = 0 Reorder the terms: (-4 + h)(h + -10) = 0 Reorder the terms: (-4 + h)(-10 + h) = 0 Multiply (-4 + h) * (-10 + h) (-4(-10 + h) + h(-10 + h)) = 0 ((-10 * -4 + h * -4) + h(-10 + h)) = 0 ((40 + -4h) + h(-10 + h)) = 0 (40 + -4h + (-10 * h + h * h)) = 0 (40 + -4h + (-10h + h2)) = 0 Combine like terms: -4h + -10h = -14h (40 + -14h + h2) = 0 Solving 40 + -14h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (4 + -1h)(10 + -1h) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(10 + -1h)' equal to zero and attempt to solve: Simplifying 10 + -1h = 0 Solving 10 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1h = 0 + -10 -1h = 0 + -10 Combine like terms: 0 + -10 = -10 -1h = -10 Divide each side by '-1'. h = 10 Simplifying h = 10Solution
h = {4, 10}
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