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Simplifying 324 + -36a + 2ab + -36b = 0 Solving 324 + -36a + 2ab + -36b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-324' to each side of the equation. 324 + -36a + 2ab + -324 + -36b = 0 + -324 Reorder the terms: 324 + -324 + -36a + 2ab + -36b = 0 + -324 Combine like terms: 324 + -324 = 0 0 + -36a + 2ab + -36b = 0 + -324 -36a + 2ab + -36b = 0 + -324 Combine like terms: 0 + -324 = -324 -36a + 2ab + -36b = -324 Add '36b' to each side of the equation. -36a + 2ab + -36b + 36b = -324 + 36b Combine like terms: -36b + 36b = 0 -36a + 2ab + 0 = -324 + 36b -36a + 2ab = -324 + 36b Reorder the terms: 324 + -36a + 2ab + -36b = -324 + 36b + 324 + -36b Reorder the terms: 324 + -36a + 2ab + -36b = -324 + 324 + 36b + -36b Combine like terms: -324 + 324 = 0 324 + -36a + 2ab + -36b = 0 + 36b + -36b 324 + -36a + 2ab + -36b = 36b + -36b Combine like terms: 36b + -36b = 0 324 + -36a + 2ab + -36b = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(162 + -18a + ab + -18b) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(162 + -18a + ab + -18b)' equal to zero and attempt to solve: Simplifying 162 + -18a + ab + -18b = 0 Solving 162 + -18a + ab + -18b = 0 Move all terms containing a to the left, all other terms to the right. Add '-162' to each side of the equation. 162 + -18a + ab + -162 + -18b = 0 + -162 Reorder the terms: 162 + -162 + -18a + ab + -18b = 0 + -162 Combine like terms: 162 + -162 = 0 0 + -18a + ab + -18b = 0 + -162 -18a + ab + -18b = 0 + -162 Combine like terms: 0 + -162 = -162 -18a + ab + -18b = -162 Add '18b' to each side of the equation. -18a + ab + -18b + 18b = -162 + 18b Combine like terms: -18b + 18b = 0 -18a + ab + 0 = -162 + 18b -18a + ab = -162 + 18b 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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