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Simplifying -25h2 + 30hy + -9y2 = 0 Reorder the terms: 30hy + -25h2 + -9y2 = 0 Solving 30hy + -25h2 + -9y2 = 0 Solving for variable 'h'. Factor a trinomial. (-5h + 3y)(5h + -3y) = 0Subproblem 1
Set the factor '(-5h + 3y)' equal to zero and attempt to solve: Simplifying -5h + 3y = 0 Solving -5h + 3y = 0 Move all terms containing h to the left, all other terms to the right. Add '-3y' to each side of the equation. -5h + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -5h + 0 = 0 + -3y -5h = 0 + -3y Remove the zero: -5h = -3y Divide each side by '-5'. h = 0.6y Simplifying h = 0.6ySubproblem 2
Set the factor '(5h + -3y)' equal to zero and attempt to solve: Simplifying 5h + -3y = 0 Solving 5h + -3y = 0 Move all terms containing h to the left, all other terms to the right. Add '3y' to each side of the equation. 5h + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5h + 0 = 0 + 3y 5h = 0 + 3y Remove the zero: 5h = 3y Divide each side by '5'. h = 0.6y Simplifying h = 0.6ySolution
h = {0.6y, 0.6y}
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