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Simplifying 25abc + 15bc + -5ac = 0 Reorder the terms: 25abc + -5ac + 15bc = 0 Solving 25abc + -5ac + 15bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15bc' to each side of the equation. 25abc + -5ac + 15bc + -15bc = 0 + -15bc Combine like terms: 15bc + -15bc = 0 25abc + -5ac + 0 = 0 + -15bc 25abc + -5ac = 0 + -15bc Remove the zero: 25abc + -5ac = -15bc Combine like terms: -15bc + 15bc = 0 25abc + -5ac + 15bc = 0 Factor out the Greatest Common Factor (GCF), '5c'. 5c(5ab + -1a + 3b) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c 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 '(5ab + -1a + 3b)' equal to zero and attempt to solve: Simplifying 5ab + -1a + 3b = 0 Reorder the terms: -1a + 5ab + 3b = 0 Solving -1a + 5ab + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -1a + 5ab + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 -1a + 5ab + 0 = 0 + -3b -1a + 5ab = 0 + -3b Remove the zero: -1a + 5ab = -3b 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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