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Simplifying y4 + -14y2 + y4 = 0 Reorder the terms: -14y2 + y4 + y4 = 0 Combine like terms: y4 + y4 = 2y4 -14y2 + 2y4 = 0 Solving -14y2 + 2y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-7 + 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 '(-7 + y2)' equal to zero and attempt to solve: Simplifying -7 + y2 = 0 Solving -7 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y2 = 0 + 7 y2 = 0 + 7 Combine like terms: 0 + 7 = 7 y2 = 7 Simplifying y2 = 7 Take the square root of each side: y = {-2.645751311, 2.645751311}Solution
y = {0, -2.645751311, 2.645751311}
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