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Simplifying 16w4 + -1 = 0 Reorder the terms: -1 + 16w4 = 0 Solving -1 + 16w4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16w4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 16w4 = 0 + 1 16w4 = 0 + 1 Combine like terms: 0 + 1 = 1 16w4 = 1 Divide each side by '16'. w4 = 0.0625 Simplifying w4 = 0.0625 Reorder the terms: -0.0625 + w4 = 0.0625 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 -0.0625 + w4 = 0.0000 Factor a difference between two squares. (0.25 + w2)(-0.25 + w2) = 0.0000 Factor a difference between two squares. (0.25 + w2)((0.5 + w)(-0.5 + w)) = 0.0000Subproblem 1
Set the factor '(0.25 + w2)' equal to zero and attempt to solve: Simplifying 0.25 + w2 = 0 Solving 0.25 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + w2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + w2 = 0 + -0.25 w2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 w2 = -0.25 Simplifying w2 = -0.25 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 '(0.5 + w)' equal to zero and attempt to solve: Simplifying 0.5 + w = 0 Solving 0.5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + w = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + w = 0 + -0.5 w = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 w = -0.5 Simplifying w = -0.5Subproblem 3
Set the factor '(-0.5 + w)' equal to zero and attempt to solve: Simplifying -0.5 + w = 0 Solving -0.5 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + w = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + w = 0 + 0.5 w = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 w = 0.5 Simplifying w = 0.5Solution
w = {-0.5, 0.5}
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