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Simplifying 63y2 + -64hy + 16h2 = 0 Reorder the terms: -64hy + 16h2 + 63y2 = 0 Solving -64hy + 16h2 + 63y2 = 0 Solving for variable 'h'. Factor a trinomial. (4h + -9y)(4h + -7y) = 0Subproblem 1
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 = 2.25ySubproblem 2
Set the factor '(4h + -7y)' equal to zero and attempt to solve: Simplifying 4h + -7y = 0 Solving 4h + -7y = 0 Move all terms containing h to the left, all other terms to the right. Add '7y' to each side of the equation. 4h + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 4h + 0 = 0 + 7y 4h = 0 + 7y Remove the zero: 4h = 7y Divide each side by '4'. h = 1.75y Simplifying h = 1.75ySolution
h = {2.25y, 1.75y}
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