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Simplifying (4w2 + 1)(1w2 + 1) = 0 Reorder the terms: (1 + 4w2)(1w2 + 1) = 0 Reorder the terms: (1 + 4w2)(1 + 1w2) = 0 Multiply (1 + 4w2) * (1 + 1w2) (1(1 + 1w2) + 4w2 * (1 + 1w2)) = 0 ((1 * 1 + 1w2 * 1) + 4w2 * (1 + 1w2)) = 0 ((1 + 1w2) + 4w2 * (1 + 1w2)) = 0 (1 + 1w2 + (1 * 4w2 + 1w2 * 4w2)) = 0 (1 + 1w2 + (4w2 + 4w4)) = 0 Combine like terms: 1w2 + 4w2 = 5w2 (1 + 5w2 + 4w4) = 0 Solving 1 + 5w2 + 4w4 = 0 Solving for variable 'w'. Factor a trinomial. (1 + w2)(1 + 4w2) = 0Subproblem 1
Set the factor '(1 + w2)' equal to zero and attempt to solve: Simplifying 1 + w2 = 0 Solving 1 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w2 = 0 + -1 w2 = 0 + -1 Combine like terms: 0 + -1 = -1 w2 = -1 Simplifying w2 = -1 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 '(1 + 4w2)' equal to zero and attempt to solve: Simplifying 1 + 4w2 = 0 Solving 1 + 4w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4w2 = 0 + -1 4w2 = 0 + -1 Combine like terms: 0 + -1 = -1 4w2 = -1 Divide each side by '4'. 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. The solution to this equation could not be determined.
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