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Simplifying (X + 5)(-8x + 8) = 0 Reorder the terms: (5 + X)(-8x + 8) = 0 Reorder the terms: (5 + X)(8 + -8x) = 0 Multiply (5 + X) * (8 + -8x) (5(8 + -8x) + X(8 + -8x)) = 0 ((8 * 5 + -8x * 5) + X(8 + -8x)) = 0 ((40 + -40x) + X(8 + -8x)) = 0 (40 + -40x + (8 * X + -8x * X)) = 0 (40 + -40x + (8X + -8xX)) = 0 Reorder the terms: (40 + 8X + -40x + -8xX) = 0 (40 + 8X + -40x + -8xX) = 0 Solving 40 + 8X + -40x + -8xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 8X + -40x + -40 + -8xX = 0 + -40 Reorder the terms: 40 + -40 + 8X + -40x + -8xX = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8X + -40x + -8xX = 0 + -40 8X + -40x + -8xX = 0 + -40 Combine like terms: 0 + -40 = -40 8X + -40x + -8xX = -40 Add '40x' to each side of the equation. 8X + -40x + 40x + -8xX = -40 + 40x Combine like terms: -40x + 40x = 0 8X + 0 + -8xX = -40 + 40x 8X + -8xX = -40 + 40x Reorder the terms: 40 + 8X + -40x + -8xX = -40 + 40x + 40 + -40x Reorder the terms: 40 + 8X + -40x + -8xX = -40 + 40 + 40x + -40x Combine like terms: -40 + 40 = 0 40 + 8X + -40x + -8xX = 0 + 40x + -40x 40 + 8X + -40x + -8xX = 40x + -40x Combine like terms: 40x + -40x = 0 40 + 8X + -40x + -8xX = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(5 + X + -5x + -1xX) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(5 + X + -5x + -1xX)' equal to zero and attempt to solve: Simplifying 5 + X + -5x + -1xX = 0 Solving 5 + X + -5x + -1xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X + -5x + -5 + -1xX = 0 + -5 Reorder the terms: 5 + -5 + X + -5x + -1xX = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X + -5x + -1xX = 0 + -5 X + -5x + -1xX = 0 + -5 Combine like terms: 0 + -5 = -5 X + -5x + -1xX = -5 Add '5x' to each side of the equation. X + -5x + 5x + -1xX = -5 + 5x Combine like terms: -5x + 5x = 0 X + 0 + -1xX = -5 + 5x X + -1xX = -5 + 5x 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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