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Simplifying 10ab2 + -15abc + 5a3bc = 0 Reorder the terms: -15abc + 10ab2 + 5a3bc = 0 Solving -15abc + 10ab2 + 5a3bc = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5ab'. 5ab(-3c + 2b + a2c) = 0 Ignore the factor 5.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 '(-3c + 2b + a2c)' equal to zero and attempt to solve: Simplifying -3c + 2b + a2c = 0 Reorder the terms: a2c + 2b + -3c = 0 Solving a2c + 2b + -3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a2c + 2b + -2b + -3c = 0 + -2b Combine like terms: 2b + -2b = 0 a2c + 0 + -3c = 0 + -2b a2c + -3c = 0 + -2b Remove the zero: a2c + -3c = -2b Add '3c' to each side of the equation. a2c + -3c + 3c = -2b + 3c Combine like terms: -3c + 3c = 0 a2c + 0 = -2b + 3c a2c = -2b + 3c Divide each side by 'c'. a2 = -2bc-1 + 3 Simplifying a2 = -2bc-1 + 3 Reorder the terms: a2 = 3 + -2bc-1 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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