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Simplifying 121 = 6x(X + -1) + 1 Reorder the terms: 121 = 6x(-1 + X) + 1 121 = (-1 * 6x + X * 6x) + 1 121 = (-6x + 6xX) + 1 Reorder the terms: 121 = 1 + -6x + 6xX Solving 121 = 1 + -6x + 6xX Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 121 + 6x = 1 + -6x + 6x + 6xX Combine like terms: -6x + 6x = 0 121 + 6x = 1 + 0 + 6xX 121 + 6x = 1 + 6xX Add '-6xX' to each side of the equation. 121 + 6x + -6xX = 1 + 6xX + -6xX Combine like terms: 6xX + -6xX = 0 121 + 6x + -6xX = 1 + 0 121 + 6x + -6xX = 1 Add '-121' to each side of the equation. 121 + 6x + -121 + -6xX = 1 + -121 Reorder the terms: 121 + -121 + 6x + -6xX = 1 + -121 Combine like terms: 121 + -121 = 0 0 + 6x + -6xX = 1 + -121 6x + -6xX = 1 + -121 Combine like terms: 1 + -121 = -120 6x + -6xX = -120 Reorder the terms: 120 + 6x + -6xX = -120 + 120 Combine like terms: -120 + 120 = 0 120 + 6x + -6xX = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(20 + x + -1xX) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(20 + x + -1xX)' equal to zero and attempt to solve: Simplifying 20 + x + -1xX = 0 Solving 20 + x + -1xX = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + x + -20 + -1xX = 0 + -20 Reorder the terms: 20 + -20 + x + -1xX = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x + -1xX = 0 + -20 x + -1xX = 0 + -20 Combine like terms: 0 + -20 = -20 x + -1xX = -20 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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