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Simplifying 36y4 + -64y2 = 4y2 Reorder the terms: -64y2 + 36y4 = 4y2 Solving -64y2 + 36y4 = 4y2 Solving for variable 'y'. Reorder the terms: -64y2 + -4y2 + 36y4 = 4y2 + -4y2 Combine like terms: -64y2 + -4y2 = -68y2 -68y2 + 36y4 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -68y2 + 36y4 = 0 Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(-17 + 9y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-17 + 9y2)' equal to zero and attempt to solve: Simplifying -17 + 9y2 = 0 Solving -17 + 9y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 9y2 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 9y2 = 0 + 17 9y2 = 0 + 17 Combine like terms: 0 + 17 = 17 9y2 = 17 Divide each side by '9'. y2 = 1.888888889 Simplifying y2 = 1.888888889 Take the square root of each side: y = {-1.374368542, 1.374368542}Solution
y = {0, -1.374368542, 1.374368542}
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