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Simplifying 3B(AX + -1BX + -1A + B) = 0 Reorder the terms: 3B(-1A + AX + B + -1BX) = 0 (-1A * 3B + AX * 3B + B * 3B + -1BX * 3B) = 0 (-3AB + 3ABX + 3B2 + -3B2X) = 0 Solving -3AB + 3ABX + 3B2 + -3B2X = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3B2' to each side of the equation. -3AB + 3ABX + 3B2 + -3B2 + -3B2X = 0 + -3B2 Combine like terms: 3B2 + -3B2 = 0 -3AB + 3ABX + 0 + -3B2X = 0 + -3B2 -3AB + 3ABX + -3B2X = 0 + -3B2 Remove the zero: -3AB + 3ABX + -3B2X = -3B2 Add '3B2X' to each side of the equation. -3AB + 3ABX + -3B2X + 3B2X = -3B2 + 3B2X Combine like terms: -3B2X + 3B2X = 0 -3AB + 3ABX + 0 = -3B2 + 3B2X -3AB + 3ABX = -3B2 + 3B2X Reorder the terms: -3AB + 3ABX + 3B2 + -3B2X = -3B2 + 3B2 + 3B2X + -3B2X Combine like terms: -3B2 + 3B2 = 0 -3AB + 3ABX + 3B2 + -3B2X = 0 + 3B2X + -3B2X -3AB + 3ABX + 3B2 + -3B2X = 3B2X + -3B2X Combine like terms: 3B2X + -3B2X = 0 -3AB + 3ABX + 3B2 + -3B2X = 0 Factor out the Greatest Common Factor (GCF), '3B'. 3B(-1A + AX + B + -1BX) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'B' equal to zero and attempt to solve: Simplifying B = 0 Solving B = 0 Move all terms containing A to the left, all other terms to the right. Add '-1B' to each side of the equation. B + -1B = 0 + -1B Remove the zero: 0 = -1B Simplifying 0 = -1B 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 '(-1A + AX + B + -1BX)' equal to zero and attempt to solve: Simplifying -1A + AX + B + -1BX = 0 Solving -1A + AX + B + -1BX = 0 Move all terms containing A to the left, all other terms to the right. Add '-1B' to each side of the equation. -1A + AX + B + -1B + -1BX = 0 + -1B Combine like terms: B + -1B = 0 -1A + AX + 0 + -1BX = 0 + -1B -1A + AX + -1BX = 0 + -1B Remove the zero: -1A + AX + -1BX = -1B Add 'BX' to each side of the equation. -1A + AX + -1BX + BX = -1B + BX Combine like terms: -1BX + BX = 0 -1A + AX + 0 = -1B + BX -1A + AX = -1B + BX 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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