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Simplifying 9y2 + 59yh + -28h2 = 0 Reorder the terms: 59hy + -28h2 + 9y2 = 0 Solving 59hy + -28h2 + 9y2 = 0 Solving for variable 'h'. Factor a trinomial. (-7h + -1y)(4h + -9y) = 0Subproblem 1
Set the factor '(-7h + -1y)' equal to zero and attempt to solve: Simplifying -7h + -1y = 0 Solving -7h + -1y = 0 Move all terms containing h to the left, all other terms to the right. Add 'y' to each side of the equation. -7h + -1y + y = 0 + y Combine like terms: -1y + y = 0 -7h + 0 = 0 + y -7h = 0 + y Remove the zero: -7h = y Divide each side by '-7'. h = -0.1428571429y Simplifying h = -0.1428571429ySubproblem 2
Set the factor '(4h + -9y)' equal to zero and attempt to solve: Simplifying 4h + -9y = 0 Solving 4h + -9y = 0 Move all terms containing h to the left, all other terms to the right. Add '9y' to each side of the equation. 4h + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 4h + 0 = 0 + 9y 4h = 0 + 9y Remove the zero: 4h = 9y Divide each side by '4'. h = 2.25y Simplifying h = 2.25ySolution
h = {-0.1428571429y, 2.25y}
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