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Simplifying 5y2 = y(y + 3) Reorder the terms: 5y2 = y(3 + y) 5y2 = (3 * y + y * y) 5y2 = (3y + y2) Solving 5y2 = 3y + y2 Solving for variable 'y'. Reorder the terms: -3y + 5y2 + -1y2 = 3y + y2 + -3y + -1y2 Combine like terms: 5y2 + -1y2 = 4y2 -3y + 4y2 = 3y + y2 + -3y + -1y2 Reorder the terms: -3y + 4y2 = 3y + -3y + y2 + -1y2 Combine like terms: 3y + -3y = 0 -3y + 4y2 = 0 + y2 + -1y2 -3y + 4y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -3y + 4y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-3 + 4y) = 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 '(-3 + 4y)' equal to zero and attempt to solve: Simplifying -3 + 4y = 0 Solving -3 + 4y = 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 + 4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4y = 0 + 3 4y = 0 + 3 Combine like terms: 0 + 3 = 3 4y = 3 Divide each side by '4'. y = 0.75 Simplifying y = 0.75Solution
y = {0, 0.75}
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