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Simplifying (5y2 + -7y) + (3y + -1y2) = 0 Reorder the terms: (-7y + 5y2) + (3y + -1y2) = 0 Remove parenthesis around (-7y + 5y2) -7y + 5y2 + (3y + -1y2) = 0 Remove parenthesis around (3y + -1y2) -7y + 5y2 + 3y + -1y2 = 0 Reorder the terms: -7y + 3y + 5y2 + -1y2 = 0 Combine like terms: -7y + 3y = -4y -4y + 5y2 + -1y2 = 0 Combine like terms: 5y2 + -1y2 = 4y2 -4y + 4y2 = 0 Solving -4y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1 + y) = 0 Ignore the factor 4.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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