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Simplifying 2y3 = 10y Solving 2y3 = 10y Solving for variable 'y'. Reorder the terms: -10y + 2y3 = 10y + -10y Combine like terms: 10y + -10y = 0 -10y + 2y3 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-5 + y2) = 0 Ignore the factor 2.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 '(-5 + y2)' equal to zero and attempt to solve: Simplifying -5 + y2 = 0 Solving -5 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y2 = 0 + 5 y2 = 0 + 5 Combine like terms: 0 + 5 = 5 y2 = 5 Simplifying y2 = 5 Take the square root of each side: y = {-2.236067978, 2.236067978}Solution
y = {0, -2.236067978, 2.236067978}
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