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Simplifying VAR(6X) + VAR(-3Y) = 36VAR(X) + 9VAR(Y) Remove parenthesis around (6X) ARV * 6X + VAR(-3Y) = 36VAR(X) + 9VAR(Y) Reorder the terms for easier multiplication: 6ARV * X + VAR(-3Y) = 36VAR(X) + 9VAR(Y) Multiply ARV * X 6ARVX + VAR(-3Y) = 36VAR(X) + 9VAR(Y) Remove parenthesis around (-3Y) 6ARVX + ARV * -3Y = 36VAR(X) + 9VAR(Y) Reorder the terms for easier multiplication: 6ARVX + -3ARV * Y = 36VAR(X) + 9VAR(Y) Multiply ARV * Y 6ARVX + -3ARVY = 36VAR(X) + 9VAR(Y) Multiply ARV * X 6ARVX + -3ARVY = 36ARVX + 9VAR(Y) Multiply ARV * Y 6ARVX + -3ARVY = 36ARVX + 9ARVY Solving 6ARVX + -3ARVY = 36ARVX + 9ARVY Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-36ARVX' to each side of the equation. 6ARVX + -36ARVX + -3ARVY = 36ARVX + -36ARVX + 9ARVY Combine like terms: 6ARVX + -36ARVX = -30ARVX -30ARVX + -3ARVY = 36ARVX + -36ARVX + 9ARVY Combine like terms: 36ARVX + -36ARVX = 0 -30ARVX + -3ARVY = 0 + 9ARVY -30ARVX + -3ARVY = 9ARVY Add '-9ARVY' to each side of the equation. -30ARVX + -3ARVY + -9ARVY = 9ARVY + -9ARVY Combine like terms: -3ARVY + -9ARVY = -12ARVY -30ARVX + -12ARVY = 9ARVY + -9ARVY Combine like terms: 9ARVY + -9ARVY = 0 -30ARVX + -12ARVY = 0 Factor out the Greatest Common Factor (GCF), '-6ARV'. -6ARV(5X + 2Y) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'ARV' equal to zero and attempt to solve: Simplifying ARV = 0 Solving ARV = 0 Move all terms containing A to the left, all other terms to the right. Simplifying ARV = 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 '(5X + 2Y)' equal to zero and attempt to solve: Simplifying 5X + 2Y = 0 Solving 5X + 2Y = 0 Move all terms containing A to the left, all other terms to the right. Add '-5X' to each side of the equation. 5X + -5X + 2Y = 0 + -5X Combine like terms: 5X + -5X = 0 0 + 2Y = 0 + -5X 2Y = 0 + -5X Remove the zero: 2Y = -5X Add '-2Y' to each side of the equation. 2Y + -2Y = -5X + -2Y Combine like terms: 2Y + -2Y = 0 0 = -5X + -2Y Simplifying 0 = -5X + -2Y 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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