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Simplifying 6y3 + -14y = 0 Reorder the terms: -14y + 6y3 = 0 Solving -14y + 6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-7 + 3y2) = 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 '(-7 + 3y2)' equal to zero and attempt to solve: Simplifying -7 + 3y2 = 0 Solving -7 + 3y2 = 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 + 3y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3y2 = 0 + 7 3y2 = 0 + 7 Combine like terms: 0 + 7 = 7 3y2 = 7 Divide each side by '3'. y2 = 2.333333333 Simplifying y2 = 2.333333333 Take the square root of each side: y = {-1.527525232, 1.527525232}Solution
y = {0, -1.527525232, 1.527525232}
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