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Simplifying 20(y4) = 3200000 Solving 20y4 = 3200000 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '20'. y4 = 160000 Simplifying y4 = 160000 Reorder the terms: -160000 + y4 = 160000 + -160000 Combine like terms: 160000 + -160000 = 0 -160000 + y4 = 0 Factor a difference between two squares. (400 + y2)(-400 + y2) = 0 Factor a difference between two squares. (400 + y2)((20 + y)(-20 + y)) = 0Subproblem 1
Set the factor '(400 + y2)' equal to zero and attempt to solve: Simplifying 400 + y2 = 0 Solving 400 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + y2 = 0 + -400 Combine like terms: 400 + -400 = 0 0 + y2 = 0 + -400 y2 = 0 + -400 Combine like terms: 0 + -400 = -400 y2 = -400 Simplifying y2 = -400 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 '(20 + y)' equal to zero and attempt to solve: Simplifying 20 + y = 0 Solving 20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + y = 0 + -20 y = 0 + -20 Combine like terms: 0 + -20 = -20 y = -20 Simplifying y = -20Subproblem 3
Set the factor '(-20 + y)' equal to zero and attempt to solve: Simplifying -20 + y = 0 Solving -20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + y = 0 + 20 y = 0 + 20 Combine like terms: 0 + 20 = 20 y = 20 Simplifying y = 20Solution
y = {-20, 20}
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