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Simplifying -3h(2h + -5y) = 0 (2h * -3h + -5y * -3h) = 0 Reorder the terms: (15hy + -6h2) = 0 (15hy + -6h2) = 0 Solving 15hy + -6h2 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), '3h'. 3h(5y + -2h) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0Subproblem 2
Set the factor '(5y + -2h)' equal to zero and attempt to solve: Simplifying 5y + -2h = 0 Reorder the terms: -2h + 5y = 0 Solving -2h + 5y = 0 Move all terms containing h to the left, all other terms to the right. Add '-5y' to each side of the equation. -2h + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -2h + 0 = 0 + -5y -2h = 0 + -5y Remove the zero: -2h = -5y Divide each side by '-2'. h = 2.5y Simplifying h = 2.5ySolution
h = {0, 2.5y}
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