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Simplifying Y = 4Y3 Solving Y = 4Y3 Solving for variable 'Y'. Combine like terms: 4Y3 + -4Y3 = 0 Y + -4Y3 = 0 Factor out the Greatest Common Factor (GCF), 'Y'. Y(1 + -4Y2) = 0 Factor a difference between two squares. Y((1 + 2Y)(1 + -2Y)) = 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 '(1 + 2Y)' equal to zero and attempt to solve: Simplifying 1 + 2Y = 0 Solving 1 + 2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2Y = 0 + -1 2Y = 0 + -1 Combine like terms: 0 + -1 = -1 2Y = -1 Divide each side by '2'. Y = -0.5 Simplifying Y = -0.5Subproblem 3
Set the factor '(1 + -2Y)' equal to zero and attempt to solve: Simplifying 1 + -2Y = 0 Solving 1 + -2Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2Y = 0 + -1 -2Y = 0 + -1 Combine like terms: 0 + -1 = -1 -2Y = -1 Divide each side by '-2'. Y = 0.5 Simplifying Y = 0.5Solution
Y = {0, -0.5, 0.5}
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