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Simplifying A(-4 + 3)(-4 + -3I + 1) = 9 Combine like terms: -4 + 3 = -1 A(-1)(-4 + -3I + 1) = 9 Reorder the terms: A * -1(-4 + 1 + -3I) = 9 Combine like terms: -4 + 1 = -3 A * -1(-3 + -3I) = 9 Reorder the terms for easier multiplication: -1A(-3 + -3I) = 9 (-3 * -1A + -3I * -1A) = 9 (3A + 3AI) = 9 Solving 3A + 3AI = 9 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Reorder the terms: -9 + 3A + 3AI = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 3A + 3AI = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + A + AI) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + A + AI)' equal to zero and attempt to solve: Simplifying -3 + A + AI = 0 Solving -3 + A + AI = 0 Move all terms containing A to the left, all other terms to the right. Add '3' to each side of the equation. -3 + A + 3 + AI = 0 + 3 Reorder the terms: -3 + 3 + A + AI = 0 + 3 Combine like terms: -3 + 3 = 0 0 + A + AI = 0 + 3 A + AI = 0 + 3 Combine like terms: 0 + 3 = 3 A + AI = 3 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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