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