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Simplifying 2y4 + -100y2 = 0 Reorder the terms: -100y2 + 2y4 = 0 Solving -100y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-50 + y2) = 0 Ignore the factor 2.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 '(-50 + y2)' equal to zero and attempt to solve: Simplifying -50 + y2 = 0 Solving -50 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + y2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + y2 = 0 + 50 y2 = 0 + 50 Combine like terms: 0 + 50 = 50 y2 = 50 Simplifying y2 = 50 Take the square root of each side: y = {-7.071067812, 7.071067812}Solution
y = {0, -7.071067812, 7.071067812}
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