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Simplifying 0 = 5y2 + 21y Reorder the terms: 0 = 21y + 5y2 Solving 0 = 21y + 5y2 Solving for variable 'y'. Remove the zero: -21y + -5y2 = 21y + 5y2 + -21y + -5y2 Reorder the terms: -21y + -5y2 = 21y + -21y + 5y2 + -5y2 Combine like terms: 21y + -21y = 0 -21y + -5y2 = 0 + 5y2 + -5y2 -21y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -21y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(21 + 5y) = 0 Ignore the factor -1.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 '(21 + 5y)' equal to zero and attempt to solve: Simplifying 21 + 5y = 0 Solving 21 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 0 + -21 5y = 0 + -21 Combine like terms: 0 + -21 = -21 5y = -21 Divide each side by '5'. y = -4.2 Simplifying y = -4.2Solution
y = {0, -4.2}
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