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Simplifying 5y2 + 4 = 2(y + 2) Reorder the terms: 4 + 5y2 = 2(y + 2) Reorder the terms: 4 + 5y2 = 2(2 + y) 4 + 5y2 = (2 * 2 + y * 2) 4 + 5y2 = (4 + 2y) Add '-4' to each side of the equation. 4 + -4 + 5y2 = 4 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 5y2 = 4 + -4 + 2y 5y2 = 4 + -4 + 2y Combine like terms: 4 + -4 = 0 5y2 = 0 + 2y 5y2 = 2y Solving 5y2 = 2y Solving for variable 'y'. Reorder the terms: -2y + 5y2 = 2y + -2y Combine like terms: 2y + -2y = 0 -2y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-2 + 5y) = 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 '(-2 + 5y)' equal to zero and attempt to solve: Simplifying -2 + 5y = 0 Solving -2 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5y = 0 + 2 5y = 0 + 2 Combine like terms: 0 + 2 = 2 5y = 2 Divide each side by '5'. y = 0.4 Simplifying y = 0.4Solution
y = {0, 0.4}
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