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Simplifying 25h + 4h2 = -6 Solving 25h + 4h2 = -6 Solving for variable 'h'. Reorder the terms: 6 + 25h + 4h2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 25h + 4h2 = 0 Factor a trinomial. (6 + h)(1 + 4h) = 0Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Subproblem 2
Set the factor '(1 + 4h)' equal to zero and attempt to solve: Simplifying 1 + 4h = 0 Solving 1 + 4h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4h = 0 + -1 4h = 0 + -1 Combine like terms: 0 + -1 = -1 4h = -1 Divide each side by '4'. h = -0.25 Simplifying h = -0.25Solution
h = {-6, -0.25}
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