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Simplifying 10a + 8c + 6ab = 0 Reorder the terms: 10a + 6ab + 8c = 0 Solving 10a + 6ab + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. 10a + 6ab + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 10a + 6ab + 0 = 0 + -8c 10a + 6ab = 0 + -8c Remove the zero: 10a + 6ab = -8c Combine like terms: -8c + 8c = 0 10a + 6ab + 8c = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5a + 3ab + 4c) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5a + 3ab + 4c)' equal to zero and attempt to solve: Simplifying 5a + 3ab + 4c = 0 Solving 5a + 3ab + 4c = 0 Move all terms containing a to the left, all other terms to the right. Add '-4c' to each side of the equation. 5a + 3ab + 4c + -4c = 0 + -4c Combine like terms: 4c + -4c = 0 5a + 3ab + 0 = 0 + -4c 5a + 3ab = 0 + -4c Remove the zero: 5a + 3ab = -4c 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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