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Simplifying 5ab + -5abc + 15abc + 25ab = 0 Reorder the terms: 5ab + 25ab + -5abc + 15abc = 0 Combine like terms: 5ab + 25ab = 30ab 30ab + -5abc + 15abc = 0 Combine like terms: -5abc + 15abc = 10abc 30ab + 10abc = 0 Solving 30ab + 10abc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '10ab'. 10ab(3 + c) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Add '-1c' to each side of the equation. c + -1c = -3 + -1c Combine like terms: c + -1c = 0 0 = -3 + -1c Simplifying 0 = -3 + -1c 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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