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Simplifying 5y + -1y2 = y2 + -8y Reorder the terms: 5y + -1y2 = -8y + y2 Solving 5y + -1y2 = -8y + y2 Solving for variable 'y'. Reorder the terms: 5y + 8y + -1y2 + -1y2 = -8y + y2 + 8y + -1y2 Combine like terms: 5y + 8y = 13y 13y + -1y2 + -1y2 = -8y + y2 + 8y + -1y2 Combine like terms: -1y2 + -1y2 = -2y2 13y + -2y2 = -8y + y2 + 8y + -1y2 Reorder the terms: 13y + -2y2 = -8y + 8y + y2 + -1y2 Combine like terms: -8y + 8y = 0 13y + -2y2 = 0 + y2 + -1y2 13y + -2y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 13y + -2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(13 + -2y) = 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 '(13 + -2y)' equal to zero and attempt to solve: Simplifying 13 + -2y = 0 Solving 13 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2y = 0 + -13 -2y = 0 + -13 Combine like terms: 0 + -13 = -13 -2y = -13 Divide each side by '-2'. y = 6.5 Simplifying y = 6.5Solution
y = {0, 6.5}
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