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Simplifying 18a + -24ay + 48b + -64by = 0 Solving 18a + -24ay + 48b + -64by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48b' to each side of the equation. 18a + -24ay + 48b + -48b + -64by = 0 + -48b Combine like terms: 48b + -48b = 0 18a + -24ay + 0 + -64by = 0 + -48b 18a + -24ay + -64by = 0 + -48b Remove the zero: 18a + -24ay + -64by = -48b Add '64by' to each side of the equation. 18a + -24ay + -64by + 64by = -48b + 64by Combine like terms: -64by + 64by = 0 18a + -24ay + 0 = -48b + 64by 18a + -24ay = -48b + 64by Reorder the terms: 18a + -24ay + 48b + -64by = -48b + 48b + 64by + -64by Combine like terms: -48b + 48b = 0 18a + -24ay + 48b + -64by = 0 + 64by + -64by 18a + -24ay + 48b + -64by = 64by + -64by Combine like terms: 64by + -64by = 0 18a + -24ay + 48b + -64by = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9a + -12ay + 24b + -32by) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9a + -12ay + 24b + -32by)' equal to zero and attempt to solve: Simplifying 9a + -12ay + 24b + -32by = 0 Solving 9a + -12ay + 24b + -32by = 0 Move all terms containing a to the left, all other terms to the right. Add '-24b' to each side of the equation. 9a + -12ay + 24b + -24b + -32by = 0 + -24b Combine like terms: 24b + -24b = 0 9a + -12ay + 0 + -32by = 0 + -24b 9a + -12ay + -32by = 0 + -24b Remove the zero: 9a + -12ay + -32by = -24b Add '32by' to each side of the equation. 9a + -12ay + -32by + 32by = -24b + 32by Combine like terms: -32by + 32by = 0 9a + -12ay + 0 = -24b + 32by 9a + -12ay = -24b + 32by 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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