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Simplifying w2 + 14wh + 40h2 = 0 Reorder the terms: 14hw + 40h2 + w2 = 0 Solving 14hw + 40h2 + w2 = 0 Solving for variable 'h'. Factor a trinomial. (10h + w)(4h + w) = 0Subproblem 1
Set the factor '(10h + w)' equal to zero and attempt to solve: Simplifying 10h + w = 0 Solving 10h + w = 0 Move all terms containing h to the left, all other terms to the right. Add '-1w' to each side of the equation. 10h + w + -1w = 0 + -1w Combine like terms: w + -1w = 0 10h + 0 = 0 + -1w 10h = 0 + -1w Remove the zero: 10h = -1w Divide each side by '10'. h = -0.1w Simplifying h = -0.1wSubproblem 2
Set the factor '(4h + w)' equal to zero and attempt to solve: Simplifying 4h + w = 0 Solving 4h + w = 0 Move all terms containing h to the left, all other terms to the right. Add '-1w' to each side of the equation. 4h + w + -1w = 0 + -1w Combine like terms: w + -1w = 0 4h + 0 = 0 + -1w 4h = 0 + -1w Remove the zero: 4h = -1w Divide each side by '4'. h = -0.25w Simplifying h = -0.25wSolution
h = {-0.1w, -0.25w}
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