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Simplifying w4 + -49 = 0 Reorder the terms: -49 + w4 = 0 Solving -49 + w4 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + w4 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + w4 = 0 + 49 w4 = 0 + 49 Combine like terms: 0 + 49 = 49 w4 = 49 Simplifying w4 = 49 Reorder the terms: -49 + w4 = 49 + -49 Combine like terms: 49 + -49 = 0 -49 + w4 = 0 Factor a difference between two squares. (7 + w2)(-7 + w2) = 0Subproblem 1
Set the factor '(7 + w2)' equal to zero and attempt to solve: Simplifying 7 + w2 = 0 Solving 7 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + w2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + w2 = 0 + -7 w2 = 0 + -7 Combine like terms: 0 + -7 = -7 w2 = -7 Simplifying w2 = -7 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 '(-7 + w2)' equal to zero and attempt to solve: Simplifying -7 + w2 = 0 Solving -7 + w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + w2 = 0 + 7 w2 = 0 + 7 Combine like terms: 0 + 7 = 7 w2 = 7 Simplifying w2 = 7 Take the square root of each side: w = {-2.645751311, 2.645751311}Solution
w = {-2.645751311, 2.645751311}
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