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Simplifying (11x + 5)(6a + -18) = 0 Reorder the terms: (5 + 11x)(6a + -18) = 0 Reorder the terms: (5 + 11x)(-18 + 6a) = 0 Multiply (5 + 11x) * (-18 + 6a) (5(-18 + 6a) + 11x * (-18 + 6a)) = 0 ((-18 * 5 + 6a * 5) + 11x * (-18 + 6a)) = 0 ((-90 + 30a) + 11x * (-18 + 6a)) = 0 (-90 + 30a + (-18 * 11x + 6a * 11x)) = 0 Reorder the terms: (-90 + 30a + (66ax + -198x)) = 0 (-90 + 30a + (66ax + -198x)) = 0 (-90 + 30a + 66ax + -198x) = 0 Solving -90 + 30a + 66ax + -198x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 30a + 66ax + 90 + -198x = 0 + 90 Reorder the terms: -90 + 90 + 30a + 66ax + -198x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 30a + 66ax + -198x = 0 + 90 30a + 66ax + -198x = 0 + 90 Combine like terms: 0 + 90 = 90 30a + 66ax + -198x = 90 Add '198x' to each side of the equation. 30a + 66ax + -198x + 198x = 90 + 198x Combine like terms: -198x + 198x = 0 30a + 66ax + 0 = 90 + 198x 30a + 66ax = 90 + 198x Reorder the terms: -90 + 30a + 66ax + -198x = 90 + 198x + -90 + -198x Reorder the terms: -90 + 30a + 66ax + -198x = 90 + -90 + 198x + -198x Combine like terms: 90 + -90 = 0 -90 + 30a + 66ax + -198x = 0 + 198x + -198x -90 + 30a + 66ax + -198x = 198x + -198x Combine like terms: 198x + -198x = 0 -90 + 30a + 66ax + -198x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-15 + 5a + 11ax + -33x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-15 + 5a + 11ax + -33x)' equal to zero and attempt to solve: Simplifying -15 + 5a + 11ax + -33x = 0 Solving -15 + 5a + 11ax + -33x = 0 Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5a + 11ax + 15 + -33x = 0 + 15 Reorder the terms: -15 + 15 + 5a + 11ax + -33x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5a + 11ax + -33x = 0 + 15 5a + 11ax + -33x = 0 + 15 Combine like terms: 0 + 15 = 15 5a + 11ax + -33x = 15 Add '33x' to each side of the equation. 5a + 11ax + -33x + 33x = 15 + 33x Combine like terms: -33x + 33x = 0 5a + 11ax + 0 = 15 + 33x 5a + 11ax = 15 + 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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