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Simplifying (X + -5)(4x + -6) = 0 Reorder the terms: (-5 + X)(4x + -6) = 0 Reorder the terms: (-5 + X)(-6 + 4x) = 0 Multiply (-5 + X) * (-6 + 4x) (-5(-6 + 4x) + X(-6 + 4x)) = 0 ((-6 * -5 + 4x * -5) + X(-6 + 4x)) = 0 ((30 + -20x) + X(-6 + 4x)) = 0 (30 + -20x + (-6 * X + 4x * X)) = 0 (30 + -20x + (-6X + 4xX)) = 0 Reorder the terms: (30 + -6X + -20x + 4xX) = 0 (30 + -6X + -20x + 4xX) = 0 Solving 30 + -6X + -20x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -6X + -20x + -30 + 4xX = 0 + -30 Reorder the terms: 30 + -30 + -6X + -20x + 4xX = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6X + -20x + 4xX = 0 + -30 -6X + -20x + 4xX = 0 + -30 Combine like terms: 0 + -30 = -30 -6X + -20x + 4xX = -30 Add '20x' to each side of the equation. -6X + -20x + 20x + 4xX = -30 + 20x Combine like terms: -20x + 20x = 0 -6X + 0 + 4xX = -30 + 20x -6X + 4xX = -30 + 20x Reorder the terms: 30 + -6X + -20x + 4xX = -30 + 20x + 30 + -20x Reorder the terms: 30 + -6X + -20x + 4xX = -30 + 30 + 20x + -20x Combine like terms: -30 + 30 = 0 30 + -6X + -20x + 4xX = 0 + 20x + -20x 30 + -6X + -20x + 4xX = 20x + -20x Combine like terms: 20x + -20x = 0 30 + -6X + -20x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -3X + -10x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -3X + -10x + 2xX)' equal to zero and attempt to solve: Simplifying 15 + -3X + -10x + 2xX = 0 Solving 15 + -3X + -10x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3X + -10x + -15 + 2xX = 0 + -15 Reorder the terms: 15 + -15 + -3X + -10x + 2xX = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3X + -10x + 2xX = 0 + -15 -3X + -10x + 2xX = 0 + -15 Combine like terms: 0 + -15 = -15 -3X + -10x + 2xX = -15 Add '10x' to each side of the equation. -3X + -10x + 10x + 2xX = -15 + 10x Combine like terms: -10x + 10x = 0 -3X + 0 + 2xX = -15 + 10x -3X + 2xX = -15 + 10x 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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