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Simplifying 81w4 + -1w4y4 = 0 Solving 81w4 + -1w4y4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'w4'. w4(81 + -1y4) = 0 Factor a difference between two squares. w4((9 + y2)(9 + -1y2)) = 0 Factor a difference between two squares. w4((9 + y2)((3 + y)(3 + -1y))) = 0Subproblem 1
Set the factor 'w4' equal to zero and attempt to solve: Simplifying w4 = 0 Solving w4 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w4 = 0 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 '(9 + y2)' equal to zero and attempt to solve: Simplifying 9 + y2 = 0 Solving 9 + y2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y2 = 0 + -9 y2 = 0 + -9 Combine like terms: 0 + -9 = -9 y2 = -9 Add '-1y2' to each side of the equation. y2 + -1y2 = -9 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -9 + -1y2 Simplifying 0 = -9 + -1y2 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 '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Add '-1y' to each side of the equation. y + -1y = -3 + -1y Combine like terms: y + -1y = 0 0 = -3 + -1y Simplifying 0 = -3 + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y 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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