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Simplifying 0 = (-4x + -6)(-20X + 10) Reorder the terms: 0 = (-6 + -4x)(-20X + 10) Reorder the terms: 0 = (-6 + -4x)(10 + -20X) Multiply (-6 + -4x) * (10 + -20X) 0 = (-6(10 + -20X) + -4x * (10 + -20X)) 0 = ((10 * -6 + -20X * -6) + -4x * (10 + -20X)) 0 = ((-60 + 120X) + -4x * (10 + -20X)) 0 = (-60 + 120X + (10 * -4x + -20X * -4x)) 0 = (-60 + 120X + (-40x + 80xX)) 0 = (-60 + 120X + -40x + 80xX) Solving 0 = -60 + 120X + -40x + 80xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-120X' to each side of the equation. 0 + -120X = -60 + 120X + -40x + -120X + 80xX Remove the zero: -120X = -60 + 120X + -40x + -120X + 80xX Reorder the terms: -120X = -60 + 120X + -120X + -40x + 80xX Combine like terms: 120X + -120X = 0 -120X = -60 + 0 + -40x + 80xX -120X = -60 + -40x + 80xX Add '-80xX' to each side of the equation. -120X + -80xX = -60 + -40x + 80xX + -80xX Combine like terms: 80xX + -80xX = 0 -120X + -80xX = -60 + -40x + 0 -120X + -80xX = -60 + -40x Reorder the terms: 60 + -120X + 40x + -80xX = -60 + -40x + 60 + 40x Reorder the terms: 60 + -120X + 40x + -80xX = -60 + 60 + -40x + 40x Combine like terms: -60 + 60 = 0 60 + -120X + 40x + -80xX = 0 + -40x + 40x 60 + -120X + 40x + -80xX = -40x + 40x Combine like terms: -40x + 40x = 0 60 + -120X + 40x + -80xX = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(3 + -6X + 2x + -4xX) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(3 + -6X + 2x + -4xX)' equal to zero and attempt to solve: Simplifying 3 + -6X + 2x + -4xX = 0 Solving 3 + -6X + 2x + -4xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6X + 2x + -3 + -4xX = 0 + -3 Reorder the terms: 3 + -3 + -6X + 2x + -4xX = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6X + 2x + -4xX = 0 + -3 -6X + 2x + -4xX = 0 + -3 Combine like terms: 0 + -3 = -3 -6X + 2x + -4xX = -3 Add '-2x' to each side of the equation. -6X + 2x + -2x + -4xX = -3 + -2x Combine like terms: 2x + -2x = 0 -6X + 0 + -4xX = -3 + -2x -6X + -4xX = -3 + -2x 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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