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Simplifying 64y2 + 81 = 144y Reorder the terms: 81 + 64y2 = 144y Solving 81 + 64y2 = 144y Solving for variable 'y'. Reorder the terms: 81 + -144y + 64y2 = 144y + -144y Combine like terms: 144y + -144y = 0 81 + -144y + 64y2 = 0 Factor a trinomial. (9 + -8y)(9 + -8y) = 0Subproblem 1
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Subproblem 2
Set the factor '(9 + -8y)' equal to zero and attempt to solve: Simplifying 9 + -8y = 0 Solving 9 + -8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 0 + -9 -8y = 0 + -9 Combine like terms: 0 + -9 = -9 -8y = -9 Divide each side by '-8'. y = 1.125 Simplifying y = 1.125Solution
y = {1.125, 1.125}
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