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Simplifying (54 + 7x)(60 + 2X) = 0 Multiply (54 + 7x) * (60 + 2X) (54(60 + 2X) + 7x * (60 + 2X)) = 0 ((60 * 54 + 2X * 54) + 7x * (60 + 2X)) = 0 ((3240 + 108X) + 7x * (60 + 2X)) = 0 (3240 + 108X + (60 * 7x + 2X * 7x)) = 0 (3240 + 108X + (420x + 14xX)) = 0 (3240 + 108X + 420x + 14xX) = 0 Solving 3240 + 108X + 420x + 14xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3240' to each side of the equation. 3240 + 108X + 420x + -3240 + 14xX = 0 + -3240 Reorder the terms: 3240 + -3240 + 108X + 420x + 14xX = 0 + -3240 Combine like terms: 3240 + -3240 = 0 0 + 108X + 420x + 14xX = 0 + -3240 108X + 420x + 14xX = 0 + -3240 Combine like terms: 0 + -3240 = -3240 108X + 420x + 14xX = -3240 Add '-420x' to each side of the equation. 108X + 420x + -420x + 14xX = -3240 + -420x Combine like terms: 420x + -420x = 0 108X + 0 + 14xX = -3240 + -420x 108X + 14xX = -3240 + -420x Reorder the terms: 3240 + 108X + 420x + 14xX = -3240 + -420x + 3240 + 420x Reorder the terms: 3240 + 108X + 420x + 14xX = -3240 + 3240 + -420x + 420x Combine like terms: -3240 + 3240 = 0 3240 + 108X + 420x + 14xX = 0 + -420x + 420x 3240 + 108X + 420x + 14xX = -420x + 420x Combine like terms: -420x + 420x = 0 3240 + 108X + 420x + 14xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1620 + 54X + 210x + 7xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1620 + 54X + 210x + 7xX)' equal to zero and attempt to solve: Simplifying 1620 + 54X + 210x + 7xX = 0 Solving 1620 + 54X + 210x + 7xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-1620' to each side of the equation. 1620 + 54X + 210x + -1620 + 7xX = 0 + -1620 Reorder the terms: 1620 + -1620 + 54X + 210x + 7xX = 0 + -1620 Combine like terms: 1620 + -1620 = 0 0 + 54X + 210x + 7xX = 0 + -1620 54X + 210x + 7xX = 0 + -1620 Combine like terms: 0 + -1620 = -1620 54X + 210x + 7xX = -1620 Add '-210x' to each side of the equation. 54X + 210x + -210x + 7xX = -1620 + -210x Combine like terms: 210x + -210x = 0 54X + 0 + 7xX = -1620 + -210x 54X + 7xX = -1620 + -210x 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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