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Simplifying 7y3 = 21y Solving 7y3 = 21y Solving for variable 'y'. Reorder the terms: -21y + 7y3 = 21y + -21y Combine like terms: 21y + -21y = 0 -21y + 7y3 = 0 Factor out the Greatest Common Factor (GCF), '7y'. 7y(-3 + y2) = 0 Ignore the factor 7.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 '(-3 + y2)' equal to zero and attempt to solve: Simplifying -3 + y2 = 0 Solving -3 + y2 = 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 + y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y2 = 0 + 3 y2 = 0 + 3 Combine like terms: 0 + 3 = 3 y2 = 3 Simplifying y2 = 3 Take the square root of each side: y = {-1.732050808, 1.732050808}Solution
y = {0, -1.732050808, 1.732050808}
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