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Simplifying (3h + -10)(3h + -4) = 0 Reorder the terms: (-10 + 3h)(3h + -4) = 0 Reorder the terms: (-10 + 3h)(-4 + 3h) = 0 Multiply (-10 + 3h) * (-4 + 3h) (-10(-4 + 3h) + 3h * (-4 + 3h)) = 0 ((-4 * -10 + 3h * -10) + 3h * (-4 + 3h)) = 0 ((40 + -30h) + 3h * (-4 + 3h)) = 0 (40 + -30h + (-4 * 3h + 3h * 3h)) = 0 (40 + -30h + (-12h + 9h2)) = 0 Combine like terms: -30h + -12h = -42h (40 + -42h + 9h2) = 0 Solving 40 + -42h + 9h2 = 0 Solving for variable 'h'. Factor a trinomial. (4 + -3h)(10 + -3h) = 0Subproblem 1
Set the factor '(4 + -3h)' equal to zero and attempt to solve: Simplifying 4 + -3h = 0 Solving 4 + -3h = 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 + -3h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3h = 0 + -4 -3h = 0 + -4 Combine like terms: 0 + -4 = -4 -3h = -4 Divide each side by '-3'. h = 1.333333333 Simplifying h = 1.333333333Subproblem 2
Set the factor '(10 + -3h)' equal to zero and attempt to solve: Simplifying 10 + -3h = 0 Solving 10 + -3h = 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 + -3h = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3h = 0 + -10 -3h = 0 + -10 Combine like terms: 0 + -10 = -10 -3h = -10 Divide each side by '-3'. h = 3.333333333 Simplifying h = 3.333333333Solution
h = {1.333333333, 3.333333333}
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