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Simplifying y3 = 144y Solving y3 = 144y Solving for variable 'y'. Reorder the terms: -144y + y3 = 144y + -144y Combine like terms: 144y + -144y = 0 -144y + y3 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-144 + y2) = 0 Factor a difference between two squares. y((12 + y)(-12 + y)) = 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 '(12 + y)' equal to zero and attempt to solve: Simplifying 12 + y = 0 Solving 12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + y = 0 + -12 y = 0 + -12 Combine like terms: 0 + -12 = -12 y = -12 Simplifying y = -12Subproblem 3
Set the factor '(-12 + y)' equal to zero and attempt to solve: Simplifying -12 + y = 0 Solving -12 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + y = 0 + 12 y = 0 + 12 Combine like terms: 0 + 12 = 12 y = 12 Simplifying y = 12Solution
y = {0, -12, 12}
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