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Simplifying 12y3 + -5y = 2y Reorder the terms: -5y + 12y3 = 2y Solving -5y + 12y3 = 2y Solving for variable 'y'. Reorder the terms: -5y + -2y + 12y3 = 2y + -2y Combine like terms: -5y + -2y = -7y -7y + 12y3 = 2y + -2y Combine like terms: 2y + -2y = 0 -7y + 12y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-7 + 12y2) = 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 '(-7 + 12y2)' equal to zero and attempt to solve: Simplifying -7 + 12y2 = 0 Solving -7 + 12y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12y2 = 0 + 7 12y2 = 0 + 7 Combine like terms: 0 + 7 = 7 12y2 = 7 Divide each side by '12'. y2 = 0.5833333333 Simplifying y2 = 0.5833333333 Take the square root of each side: y = {-0.763762616, 0.763762616}Solution
y = {0, -0.763762616, 0.763762616}
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