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Simplifying Y4 + -625 = 0 Reorder the terms: -625 + Y4 = 0 Solving -625 + Y4 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + Y4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + Y4 = 0 + 625 Y4 = 0 + 625 Combine like terms: 0 + 625 = 625 Y4 = 625 Simplifying Y4 = 625 Reorder the terms: -625 + Y4 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + Y4 = 0 Factor a difference between two squares. (25 + Y2)(-25 + Y2) = 0 Factor a difference between two squares. (25 + Y2)((5 + Y)(-5 + Y)) = 0Subproblem 1
Set the factor '(25 + Y2)' equal to zero and attempt to solve: Simplifying 25 + Y2 = 0 Solving 25 + Y2 = 0 Move all terms containing Y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + Y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + Y2 = 0 + -25 Y2 = 0 + -25 Combine like terms: 0 + -25 = -25 Y2 = -25 Simplifying Y2 = -25 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 '(5 + Y)' equal to zero and attempt to solve: Simplifying 5 + Y = 0 Solving 5 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + Y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + Y = 0 + -5 Y = 0 + -5 Combine like terms: 0 + -5 = -5 Y = -5 Simplifying Y = -5Subproblem 3
Set the factor '(-5 + Y)' equal to zero and attempt to solve: Simplifying -5 + Y = 0 Solving -5 + Y = 0 Move all terms containing Y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + Y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + Y = 0 + 5 Y = 0 + 5 Combine like terms: 0 + 5 = 5 Y = 5 Simplifying Y = 5Solution
Y = {-5, 5}
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