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Simplifying 6abc + -2abx + 10aby = 0 Solving 6abc + -2abx + 10aby = 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), '2ab'. 2ab(3c + -1x + 5y) = 0 Ignore the factor 2.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 + -1x + 5y)' equal to zero and attempt to solve: Simplifying 3c + -1x + 5y = 0 Solving 3c + -1x + 5y = 0 Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. 3c + -1x + -3c + 5y = 0 + -3c Reorder the terms: 3c + -3c + -1x + 5y = 0 + -3c Combine like terms: 3c + -3c = 0 0 + -1x + 5y = 0 + -3c -1x + 5y = 0 + -3c Remove the zero: -1x + 5y = -3c Add 'x' to each side of the equation. -1x + x + 5y = -3c + x Combine like terms: -1x + x = 0 0 + 5y = -3c + x 5y = -3c + x Add '-5y' to each side of the equation. 5y + -5y = -3c + x + -5y Combine like terms: 5y + -5y = 0 0 = -3c + x + -5y Simplifying 0 = -3c + x + -5y 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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