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Simplifying Y4 + -16y2 = 0 Solving Y4 + -16y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '16y2' to each side of the equation. Y4 + -16y2 + 16y2 = 0 + 16y2 Combine like terms: -16y2 + 16y2 = 0 Y4 + 0 = 0 + 16y2 Y4 = 0 + 16y2 Remove the zero: Y4 = 16y2 Simplifying Y4 = 16y2 Combine like terms: 16y2 + -16y2 = 0 Y4 + -16y2 = 0 Factor a difference between two squares. (Y2 + 4y)(Y2 + -4y) = 0Subproblem 1
Set the factor '(Y2 + 4y)' equal to zero and attempt to solve: Simplifying Y2 + 4y = 0 Solving Y2 + 4y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-4y' to each side of the equation. Y2 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 Y2 + 0 = 0 + -4y Y2 = 0 + -4y Remove the zero: Y2 = -4y Simplifying Y2 = -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(Y2 + -4y)' equal to zero and attempt to solve: Simplifying Y2 + -4y = 0 Solving Y2 + -4y = 0 Move all terms containing Y to the left, all other terms to the right. Add '4y' to each side of the equation. Y2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 Y2 + 0 = 0 + 4y Y2 = 0 + 4y Remove the zero: Y2 = 4y Simplifying Y2 = 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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