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