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Simplifying 21h2 + -133h + -98 = 0 Reorder the terms: -98 + -133h + 21h2 = 0 Solving -98 + -133h + 21h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '7'. 7(-14 + -19h + 3h2) = 0 Factor a trinomial. 7((-2 + -3h)(7 + -1h)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + -3h)' equal to zero and attempt to solve: Simplifying -2 + -3h = 0 Solving -2 + -3h = 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 + -3h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3h = 0 + 2 -3h = 0 + 2 Combine like terms: 0 + 2 = 2 -3h = 2 Divide each side by '-3'. h = -0.6666666667 Simplifying h = -0.6666666667Subproblem 2
Set the factor '(7 + -1h)' equal to zero and attempt to solve: Simplifying 7 + -1h = 0 Solving 7 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1h = 0 + -7 -1h = 0 + -7 Combine like terms: 0 + -7 = -7 -1h = -7 Divide each side by '-1'. h = 7 Simplifying h = 7Solution
h = {-0.6666666667, 7}
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