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Simplifying 2v2 + -3vh + -5h2 = 0 Reorder the terms: -3hv + -5h2 + 2v2 = 0 Solving -3hv + -5h2 + 2v2 = 0 Solving for variable 'h'. Factor a trinomial. (-1h + -1v)(5h + -2v) = 0Subproblem 1
Set the factor '(-1h + -1v)' equal to zero and attempt to solve: Simplifying -1h + -1v = 0 Solving -1h + -1v = 0 Move all terms containing h to the left, all other terms to the right. Add 'v' to each side of the equation. -1h + -1v + v = 0 + v Combine like terms: -1v + v = 0 -1h + 0 = 0 + v -1h = 0 + v Remove the zero: -1h = v Divide each side by '-1'. h = -1v Simplifying h = -1vSubproblem 2
Set the factor '(5h + -2v)' equal to zero and attempt to solve: Simplifying 5h + -2v = 0 Solving 5h + -2v = 0 Move all terms containing h to the left, all other terms to the right. Add '2v' to each side of the equation. 5h + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 5h + 0 = 0 + 2v 5h = 0 + 2v Remove the zero: 5h = 2v Divide each side by '5'. h = 0.4v Simplifying h = 0.4vSolution
h = {-1v, 0.4v}
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