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Simplifying y5 + -49y = 0 Reorder the terms: -49y + y5 = 0 Solving -49y + y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-49 + y4) = 0 Factor a difference between two squares. y((7 + y2)(-7 + y2)) = 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 '(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 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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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