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Simplifying 5w4 + -3125 = 0 Reorder the terms: -3125 + 5w4 = 0 Solving -3125 + 5w4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3125' to each side of the equation. -3125 + 3125 + 5w4 = 0 + 3125 Combine like terms: -3125 + 3125 = 0 0 + 5w4 = 0 + 3125 5w4 = 0 + 3125 Combine like terms: 0 + 3125 = 3125 5w4 = 3125 Divide each side by '5'. w4 = 625 Simplifying w4 = 625 Reorder the terms: -625 + w4 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + w4 = 0 Factor a difference between two squares. (25 + w2)(-25 + w2) = 0 Factor a difference between two squares. (25 + w2)((5 + w)(-5 + w)) = 0Subproblem 1
Set the factor '(25 + w2)' equal to zero and attempt to solve: Simplifying 25 + w2 = 0 Solving 25 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + w2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + w2 = 0 + -25 w2 = 0 + -25 Combine like terms: 0 + -25 = -25 w2 = -25 Simplifying w2 = -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 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5Subproblem 3
Set the factor '(-5 + w)' equal to zero and attempt to solve: Simplifying -5 + w = 0 Solving -5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + w = 0 + 5 Combine like terms: -5 + 5 = 0 0 + w = 0 + 5 w = 0 + 5 Combine like terms: 0 + 5 = 5 w = 5 Simplifying w = 5Solution
w = {-5, 5}
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