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Simplifying (11x + 9)(2v + -6) = 0 Reorder the terms: (9 + 11x)(2v + -6) = 0 Reorder the terms: (9 + 11x)(-6 + 2v) = 0 Multiply (9 + 11x) * (-6 + 2v) (9(-6 + 2v) + 11x * (-6 + 2v)) = 0 ((-6 * 9 + 2v * 9) + 11x * (-6 + 2v)) = 0 ((-54 + 18v) + 11x * (-6 + 2v)) = 0 (-54 + 18v + (-6 * 11x + 2v * 11x)) = 0 Reorder the terms: (-54 + 18v + (22vx + -66x)) = 0 (-54 + 18v + (22vx + -66x)) = 0 (-54 + 18v + 22vx + -66x) = 0 Solving -54 + 18v + 22vx + -66x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 18v + 22vx + 54 + -66x = 0 + 54 Reorder the terms: -54 + 54 + 18v + 22vx + -66x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 18v + 22vx + -66x = 0 + 54 18v + 22vx + -66x = 0 + 54 Combine like terms: 0 + 54 = 54 18v + 22vx + -66x = 54 Add '66x' to each side of the equation. 18v + 22vx + -66x + 66x = 54 + 66x Combine like terms: -66x + 66x = 0 18v + 22vx + 0 = 54 + 66x 18v + 22vx = 54 + 66x Reorder the terms: -54 + 18v + 22vx + -66x = 54 + 66x + -54 + -66x Reorder the terms: -54 + 18v + 22vx + -66x = 54 + -54 + 66x + -66x Combine like terms: 54 + -54 = 0 -54 + 18v + 22vx + -66x = 0 + 66x + -66x -54 + 18v + 22vx + -66x = 66x + -66x Combine like terms: 66x + -66x = 0 -54 + 18v + 22vx + -66x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 9v + 11vx + -33x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + 9v + 11vx + -33x)' equal to zero and attempt to solve: Simplifying -27 + 9v + 11vx + -33x = 0 Solving -27 + 9v + 11vx + -33x = 0 Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 9v + 11vx + 27 + -33x = 0 + 27 Reorder the terms: -27 + 27 + 9v + 11vx + -33x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9v + 11vx + -33x = 0 + 27 9v + 11vx + -33x = 0 + 27 Combine like terms: 0 + 27 = 27 9v + 11vx + -33x = 27 Add '33x' to each side of the equation. 9v + 11vx + -33x + 33x = 27 + 33x Combine like terms: -33x + 33x = 0 9v + 11vx + 0 = 27 + 33x 9v + 11vx = 27 + 33x 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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