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Simplifying 10g(X) + 50(y) = 15g Multiply g * X 10gX + 50(y) = 15g Solving 10gX + 50y = 15g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15g' to each side of the equation. 10gX + -15g + 50y = 15g + -15g Reorder the terms: -15g + 10gX + 50y = 15g + -15g Combine like terms: 15g + -15g = 0 -15g + 10gX + 50y = 0 Add '-50y' to each side of the equation. -15g + 10gX + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 -15g + 10gX + 0 = 0 + -50y -15g + 10gX = 0 + -50y Remove the zero: -15g + 10gX = -50y Combine like terms: -50y + 50y = 0 -15g + 10gX + 50y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3g + 2gX + 10y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3g + 2gX + 10y)' equal to zero and attempt to solve: Simplifying -3g + 2gX + 10y = 0 Solving -3g + 2gX + 10y = 0 Move all terms containing g to the left, all other terms to the right. Add '-10y' to each side of the equation. -3g + 2gX + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -3g + 2gX + 0 = 0 + -10y -3g + 2gX = 0 + -10y Remove the zero: -3g + 2gX = -10y 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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