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Simplifying 2y2 + -5y + 3 * 2y2 + -3y = 0 Multiply 3 * 2 2y2 + -5y + 6y2 + -3y = 0 Reorder the terms: -5y + -3y + 2y2 + 6y2 = 0 Combine like terms: -5y + -3y = -8y -8y + 2y2 + 6y2 = 0 Combine like terms: 2y2 + 6y2 = 8y2 -8y + 8y2 = 0 Solving -8y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(-1 + y) = 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 + 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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