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Simplifying 7y = 5y(y + 2) Reorder the terms: 7y = 5y(2 + y) 7y = (2 * 5y + y * 5y) 7y = (10y + 5y2) Solving 7y = 10y + 5y2 Solving for variable 'y'. Combine like terms: 7y + -10y = -3y -3y + -5y2 = 10y + 5y2 + -10y + -5y2 Reorder the terms: -3y + -5y2 = 10y + -10y + 5y2 + -5y2 Combine like terms: 10y + -10y = 0 -3y + -5y2 = 0 + 5y2 + -5y2 -3y + -5y2 = 5y2 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -3y + -5y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(3 + 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 '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {0, -0.6}
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