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