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Simplifying 20 = 70xNA + 90xNB Solving 20 = 70xAN + 90xBN Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70xAN' to each side of the equation. 20 + -70xAN = 70xAN + -70xAN + 90xBN Combine like terms: 70xAN + -70xAN = 0 20 + -70xAN = 0 + 90xBN 20 + -70xAN = 90xBN Add '-90xBN' to each side of the equation. 20 + -70xAN + -90xBN = 90xBN + -90xBN Combine like terms: 90xBN + -90xBN = 0 20 + -70xAN + -90xBN = 0 Add '-20' to each side of the equation. 20 + -70xAN + -20 + -90xBN = 0 + -20 Reorder the terms: 20 + -20 + -70xAN + -90xBN = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -70xAN + -90xBN = 0 + -20 -70xAN + -90xBN = 0 + -20 Combine like terms: 0 + -20 = -20 -70xAN + -90xBN = -20 Reorder the terms: 20 + -70xAN + -90xBN = -20 + 20 Combine like terms: -20 + 20 = 0 20 + -70xAN + -90xBN = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(2 + -7xAN + -9xBN) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(2 + -7xAN + -9xBN)' equal to zero and attempt to solve: Simplifying 2 + -7xAN + -9xBN = 0 Solving 2 + -7xAN + -9xBN = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7xAN + -2 + -9xBN = 0 + -2 Reorder the terms: 2 + -2 + -7xAN + -9xBN = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7xAN + -9xBN = 0 + -2 -7xAN + -9xBN = 0 + -2 Combine like terms: 0 + -2 = -2 -7xAN + -9xBN = -2 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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