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Simplifying 9h2 + -12hy + 4y2 = 0 Reorder the terms: -12hy + 9h2 + 4y2 = 0 Solving -12hy + 9h2 + 4y2 = 0 Solving for variable 'h'. Factor a trinomial. (3h + -2y)(3h + -2y) = 0Subproblem 1
Set the factor '(3h + -2y)' equal to zero and attempt to solve: Simplifying 3h + -2y = 0 Solving 3h + -2y = 0 Move all terms containing h to the left, all other terms to the right. Add '2y' to each side of the equation. 3h + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3h + 0 = 0 + 2y 3h = 0 + 2y Remove the zero: 3h = 2y Divide each side by '3'. h = 0.6666666667y Simplifying h = 0.6666666667ySubproblem 2
Set the factor '(3h + -2y)' equal to zero and attempt to solve: Simplifying 3h + -2y = 0 Solving 3h + -2y = 0 Move all terms containing h to the left, all other terms to the right. Add '2y' to each side of the equation. 3h + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3h + 0 = 0 + 2y 3h = 0 + 2y Remove the zero: 3h = 2y Divide each side by '3'. h = 0.6666666667y Simplifying h = 0.6666666667ySolution
h = {0.6666666667y, 0.6666666667y}
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