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Simplifying (X + -5)(10 + 4x) = 0 Reorder the terms: (-5 + X)(10 + 4x) = 0 Multiply (-5 + X) * (10 + 4x) (-5(10 + 4x) + X(10 + 4x)) = 0 ((10 * -5 + 4x * -5) + X(10 + 4x)) = 0 ((-50 + -20x) + X(10 + 4x)) = 0 (-50 + -20x + (10 * X + 4x * X)) = 0 (-50 + -20x + (10X + 4xX)) = 0 Reorder the terms: (-50 + 10X + -20x + 4xX) = 0 (-50 + 10X + -20x + 4xX) = 0 Solving -50 + 10X + -20x + 4xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 10X + -20x + 50 + 4xX = 0 + 50 Reorder the terms: -50 + 50 + 10X + -20x + 4xX = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 10X + -20x + 4xX = 0 + 50 10X + -20x + 4xX = 0 + 50 Combine like terms: 0 + 50 = 50 10X + -20x + 4xX = 50 Add '20x' to each side of the equation. 10X + -20x + 20x + 4xX = 50 + 20x Combine like terms: -20x + 20x = 0 10X + 0 + 4xX = 50 + 20x 10X + 4xX = 50 + 20x Reorder the terms: -50 + 10X + -20x + 4xX = 50 + 20x + -50 + -20x Reorder the terms: -50 + 10X + -20x + 4xX = 50 + -50 + 20x + -20x Combine like terms: 50 + -50 = 0 -50 + 10X + -20x + 4xX = 0 + 20x + -20x -50 + 10X + -20x + 4xX = 20x + -20x Combine like terms: 20x + -20x = 0 -50 + 10X + -20x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 5X + -10x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-25 + 5X + -10x + 2xX)' equal to zero and attempt to solve: Simplifying -25 + 5X + -10x + 2xX = 0 Solving -25 + 5X + -10x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 5X + -10x + 25 + 2xX = 0 + 25 Reorder the terms: -25 + 25 + 5X + -10x + 2xX = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 5X + -10x + 2xX = 0 + 25 5X + -10x + 2xX = 0 + 25 Combine like terms: 0 + 25 = 25 5X + -10x + 2xX = 25 Add '10x' to each side of the equation. 5X + -10x + 10x + 2xX = 25 + 10x Combine like terms: -10x + 10x = 0 5X + 0 + 2xX = 25 + 10x 5X + 2xX = 25 + 10x 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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