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Simplifying Iw(3w) = 48 Remove parenthesis around (3w) wI * 3w = 48 Reorder the terms for easier multiplication: 3wI * w = 48 Multiply wI * w 3w2I = 48 Solving 3w2I = 48 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '3I'. w2 = 16I-1 Simplifying w2 = 16I-1 Reorder the terms: -16I-1 + w2 = 16I-1 + -16I-1 Combine like terms: 16I-1 + -16I-1 = 0 -16I-1 + w2 = 0 Factor out the Greatest Common Factor (GCF), 'I-1'. I-1(-16 + w2I) = 0Subproblem 1
Set the factor 'I-1' equal to zero and attempt to solve: Simplifying I-1 = 0 Solving I-1 = 0 Move all terms containing w to the left, all other terms to the right. Add '-1I-1' to each side of the equation. I-1 + -1I-1 = 0 + -1I-1 Remove the zero: 0 = -1I-1 Simplifying 0 = -1I-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 '(-16 + w2I)' equal to zero and attempt to solve: Simplifying -16 + w2I = 0 Solving -16 + w2I = 0 Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + w2I = 0 + 16 Combine like terms: -16 + 16 = 0 0 + w2I = 0 + 16 w2I = 0 + 16 Combine like terms: 0 + 16 = 16 w2I = 16 Divide each side by 'I'. w2 = 16I-1 Simplifying w2 = 16I-1 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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