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Simplifying 3y(4y) = 12y Remove parenthesis around (4y) 3y * 4y = 12y Reorder the terms for easier multiplication: 3 * 4y * y = 12y Multiply 3 * 4 12y * y = 12y Multiply y * y 12y2 = 12y Solving 12y2 = 12y Solving for variable 'y'. Reorder the terms: -12y + 12y2 = 12y + -12y Combine like terms: 12y + -12y = 0 -12y + 12y2 = 0 Factor out the Greatest Common Factor (GCF), '12y'. 12y(-1 + y) = 0 Ignore the factor 12.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 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 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 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Simplifying y = 1Solution
y = {0, 1}
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