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Simplifying 81x3 + -1w4x3 = 0 Reorder the terms: -1w4x3 + 81x3 = 0 Solving -1w4x3 + 81x3 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-81x3' to each side of the equation. -1w4x3 + 81x3 + -81x3 = 0 + -81x3 Combine like terms: 81x3 + -81x3 = 0 -1w4x3 + 0 = 0 + -81x3 -1w4x3 = 0 + -81x3 Remove the zero: -1w4x3 = -81x3 Divide each side by '-1x3'. w4 = 81 Simplifying w4 = 81 Reorder the terms: -81 + w4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + w4 = 0 Factor a difference between two squares. (9 + w2)(-9 + w2) = 0 Factor a difference between two squares. (9 + w2)((3 + w)(-3 + w)) = 0Subproblem 1
Set the factor '(9 + w2)' equal to zero and attempt to solve: Simplifying 9 + w2 = 0 Solving 9 + w2 = 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 + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w2 = 0 + -9 w2 = 0 + -9 Combine like terms: 0 + -9 = -9 w2 = -9 Simplifying w2 = -9 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 '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 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 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3Subproblem 3
Set the factor '(-3 + w)' equal to zero and attempt to solve: Simplifying -3 + w = 0 Solving -3 + w = 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 + w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + w = 0 + 3 w = 0 + 3 Combine like terms: 0 + 3 = 3 w = 3 Simplifying w = 3Solution
w = {-3, 3}
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