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Simplifying 9X(4r + -6) = 36r + -54 Reorder the terms: 9X(-6 + 4r) = 36r + -54 (-6 * 9X + 4r * 9X) = 36r + -54 (-54X + 36rX) = 36r + -54 Reorder the terms: -54X + 36rX = -54 + 36r Solving -54X + 36rX = -54 + 36r Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 54 + -54X + -36r + 36rX = -54 + 36r + 54 + -36r Reorder the terms: 54 + -54X + -36r + 36rX = -54 + 54 + 36r + -36r Combine like terms: -54 + 54 = 0 54 + -54X + -36r + 36rX = 0 + 36r + -36r 54 + -54X + -36r + 36rX = 36r + -36r Combine like terms: 36r + -36r = 0 54 + -54X + -36r + 36rX = 0 Factor out the Greatest Common Factor (GCF), '18'. 18(3 + -3X + -2r + 2rX) = 0 Ignore the factor 18.Subproblem 1
Set the factor '(3 + -3X + -2r + 2rX)' equal to zero and attempt to solve: Simplifying 3 + -3X + -2r + 2rX = 0 Solving 3 + -3X + -2r + 2rX = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3X + -2r + -3 + 2rX = 0 + -3 Reorder the terms: 3 + -3 + -3X + -2r + 2rX = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3X + -2r + 2rX = 0 + -3 -3X + -2r + 2rX = 0 + -3 Combine like terms: 0 + -3 = -3 -3X + -2r + 2rX = -3 Add '2r' to each side of the equation. -3X + -2r + 2r + 2rX = -3 + 2r Combine like terms: -2r + 2r = 0 -3X + 0 + 2rX = -3 + 2r -3X + 2rX = -3 + 2r 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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