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Simplifying (9y)(9y) = y Remove parenthesis around (9y) 9y(9y) = y Remove parenthesis around (9y) 9y * 9y = y Reorder the terms for easier multiplication: 9 * 9y * y = y Multiply 9 * 9 81y * y = y Multiply y * y 81y2 = y Solving 81y2 = y Solving for variable 'y'. Reorder the terms: -1y + 81y2 = y + -1y Combine like terms: y + -1y = 0 -1y + 81y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-1 + 81y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-1 + 81y)' equal to zero and attempt to solve: Simplifying -1 + 81y = 0 Solving -1 + 81y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 81y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 81y = 0 + 1 81y = 0 + 1 Combine like terms: 0 + 1 = 1 81y = 1 Divide each side by '81'. y = 0.01234567901 Simplifying y = 0.01234567901Solution
y = {0, 0.01234567901}
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