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Simplifying 25h2 + 50h + 16 = 0 Reorder the terms: 16 + 50h + 25h2 = 0 Solving 16 + 50h + 25h2 = 0 Solving for variable 'h'. Factor a trinomial. (8 + 5h)(2 + 5h) = 0Subproblem 1
Set the factor '(8 + 5h)' equal to zero and attempt to solve: Simplifying 8 + 5h = 0 Solving 8 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5h = 0 + -8 5h = 0 + -8 Combine like terms: 0 + -8 = -8 5h = -8 Divide each side by '5'. h = -1.6 Simplifying h = -1.6Subproblem 2
Set the factor '(2 + 5h)' equal to zero and attempt to solve: Simplifying 2 + 5h = 0 Solving 2 + 5h = 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 + 5h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5h = 0 + -2 5h = 0 + -2 Combine like terms: 0 + -2 = -2 5h = -2 Divide each side by '5'. h = -0.4 Simplifying h = -0.4Solution
h = {-1.6, -0.4}
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