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Simplifying (X + -8)(4x + -2) = 0 Reorder the terms: (-8 + X)(4x + -2) = 0 Reorder the terms: (-8 + X)(-2 + 4x) = 0 Multiply (-8 + X) * (-2 + 4x) (-8(-2 + 4x) + X(-2 + 4x)) = 0 ((-2 * -8 + 4x * -8) + X(-2 + 4x)) = 0 ((16 + -32x) + X(-2 + 4x)) = 0 (16 + -32x + (-2 * X + 4x * X)) = 0 (16 + -32x + (-2X + 4xX)) = 0 Reorder the terms: (16 + -2X + -32x + 4xX) = 0 (16 + -2X + -32x + 4xX) = 0 Solving 16 + -2X + -32x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -2X + -32x + -16 + 4xX = 0 + -16 Reorder the terms: 16 + -16 + -2X + -32x + 4xX = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2X + -32x + 4xX = 0 + -16 -2X + -32x + 4xX = 0 + -16 Combine like terms: 0 + -16 = -16 -2X + -32x + 4xX = -16 Add '32x' to each side of the equation. -2X + -32x + 32x + 4xX = -16 + 32x Combine like terms: -32x + 32x = 0 -2X + 0 + 4xX = -16 + 32x -2X + 4xX = -16 + 32x Reorder the terms: 16 + -2X + -32x + 4xX = -16 + 32x + 16 + -32x Reorder the terms: 16 + -2X + -32x + 4xX = -16 + 16 + 32x + -32x Combine like terms: -16 + 16 = 0 16 + -2X + -32x + 4xX = 0 + 32x + -32x 16 + -2X + -32x + 4xX = 32x + -32x Combine like terms: 32x + -32x = 0 16 + -2X + -32x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -1X + -16x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -1X + -16x + 2xX)' equal to zero and attempt to solve: Simplifying 8 + -1X + -16x + 2xX = 0 Solving 8 + -1X + -16x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1X + -16x + -8 + 2xX = 0 + -8 Reorder the terms: 8 + -8 + -1X + -16x + 2xX = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1X + -16x + 2xX = 0 + -8 -1X + -16x + 2xX = 0 + -8 Combine like terms: 0 + -8 = -8 -1X + -16x + 2xX = -8 Add '16x' to each side of the equation. -1X + -16x + 16x + 2xX = -8 + 16x Combine like terms: -16x + 16x = 0 -1X + 0 + 2xX = -8 + 16x -1X + 2xX = -8 + 16x 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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