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Simplifying (X + 5)(2x + -8) = 0 Reorder the terms: (5 + X)(2x + -8) = 0 Reorder the terms: (5 + X)(-8 + 2x) = 0 Multiply (5 + X) * (-8 + 2x) (5(-8 + 2x) + X(-8 + 2x)) = 0 ((-8 * 5 + 2x * 5) + X(-8 + 2x)) = 0 ((-40 + 10x) + X(-8 + 2x)) = 0 (-40 + 10x + (-8 * X + 2x * X)) = 0 (-40 + 10x + (-8X + 2xX)) = 0 Reorder the terms: (-40 + -8X + 10x + 2xX) = 0 (-40 + -8X + 10x + 2xX) = 0 Solving -40 + -8X + 10x + 2xX = 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 + 10x + 40 + 2xX = 0 + 40 Reorder the terms: -40 + 40 + -8X + 10x + 2xX = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -8X + 10x + 2xX = 0 + 40 -8X + 10x + 2xX = 0 + 40 Combine like terms: 0 + 40 = 40 -8X + 10x + 2xX = 40 Add '-10x' to each side of the equation. -8X + 10x + -10x + 2xX = 40 + -10x Combine like terms: 10x + -10x = 0 -8X + 0 + 2xX = 40 + -10x -8X + 2xX = 40 + -10x Reorder the terms: -40 + -8X + 10x + 2xX = 40 + -10x + -40 + 10x Reorder the terms: -40 + -8X + 10x + 2xX = 40 + -40 + -10x + 10x Combine like terms: 40 + -40 = 0 -40 + -8X + 10x + 2xX = 0 + -10x + 10x -40 + -8X + 10x + 2xX = -10x + 10x Combine like terms: -10x + 10x = 0 -40 + -8X + 10x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + -4X + 5x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + -4X + 5x + xX)' equal to zero and attempt to solve: Simplifying -20 + -4X + 5x + xX = 0 Solving -20 + -4X + 5x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -4X + 5x + 20 + xX = 0 + 20 Reorder the terms: -20 + 20 + -4X + 5x + xX = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4X + 5x + xX = 0 + 20 -4X + 5x + xX = 0 + 20 Combine like terms: 0 + 20 = 20 -4X + 5x + xX = 20 Add '-5x' to each side of the equation. -4X + 5x + -5x + xX = 20 + -5x Combine like terms: 5x + -5x = 0 -4X + 0 + xX = 20 + -5x -4X + xX = 20 + -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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