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Simplifying 8y = 12y(12y) Remove parenthesis around (12y) 8y = 12y * 12y Reorder the terms for easier multiplication: 8y = 12 * 12y * y Multiply 12 * 12 8y = 144y * y Multiply y * y 8y = 144y2 Solving 8y = 144y2 Solving for variable 'y'. Combine like terms: 144y2 + -144y2 = 0 8y + -144y2 = 0 Factor out the Greatest Common Factor (GCF), '8y'. 8y(1 + -18y) = 0 Ignore the factor 8.Subproblem 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 + -18y)' equal to zero and attempt to solve: Simplifying 1 + -18y = 0 Solving 1 + -18y = 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 + -18y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -18y = 0 + -1 -18y = 0 + -1 Combine like terms: 0 + -1 = -1 -18y = -1 Divide each side by '-18'. y = 0.05555555556 Simplifying y = 0.05555555556Solution
y = {0, 0.05555555556}
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