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Simplifying y2 + -5y + -24y = 0 Reorder the terms: -5y + -24y + y2 = 0 Combine like terms: -5y + -24y = -29y -29y + y2 = 0 Solving -29y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-29 + y) = 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 '(-29 + y)' equal to zero and attempt to solve: Simplifying -29 + y = 0 Solving -29 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + y = 0 + 29 Combine like terms: -29 + 29 = 0 0 + y = 0 + 29 y = 0 + 29 Combine like terms: 0 + 29 = 29 y = 29 Simplifying y = 29Solution
y = {0, 29}
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