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Simplifying (X + 7)(2x + 10) = 0 Reorder the terms: (7 + X)(2x + 10) = 0 Reorder the terms: (7 + X)(10 + 2x) = 0 Multiply (7 + X) * (10 + 2x) (7(10 + 2x) + X(10 + 2x)) = 0 ((10 * 7 + 2x * 7) + X(10 + 2x)) = 0 ((70 + 14x) + X(10 + 2x)) = 0 (70 + 14x + (10 * X + 2x * X)) = 0 (70 + 14x + (10X + 2xX)) = 0 Reorder the terms: (70 + 10X + 14x + 2xX) = 0 (70 + 10X + 14x + 2xX) = 0 Solving 70 + 10X + 14x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + 10X + 14x + -70 + 2xX = 0 + -70 Reorder the terms: 70 + -70 + 10X + 14x + 2xX = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 10X + 14x + 2xX = 0 + -70 10X + 14x + 2xX = 0 + -70 Combine like terms: 0 + -70 = -70 10X + 14x + 2xX = -70 Add '-14x' to each side of the equation. 10X + 14x + -14x + 2xX = -70 + -14x Combine like terms: 14x + -14x = 0 10X + 0 + 2xX = -70 + -14x 10X + 2xX = -70 + -14x Reorder the terms: 70 + 10X + 14x + 2xX = -70 + -14x + 70 + 14x Reorder the terms: 70 + 10X + 14x + 2xX = -70 + 70 + -14x + 14x Combine like terms: -70 + 70 = 0 70 + 10X + 14x + 2xX = 0 + -14x + 14x 70 + 10X + 14x + 2xX = -14x + 14x Combine like terms: -14x + 14x = 0 70 + 10X + 14x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 5X + 7x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35 + 5X + 7x + xX)' equal to zero and attempt to solve: Simplifying 35 + 5X + 7x + xX = 0 Solving 35 + 5X + 7x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5X + 7x + -35 + xX = 0 + -35 Reorder the terms: 35 + -35 + 5X + 7x + xX = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5X + 7x + xX = 0 + -35 5X + 7x + xX = 0 + -35 Combine like terms: 0 + -35 = -35 5X + 7x + xX = -35 Add '-7x' to each side of the equation. 5X + 7x + -7x + xX = -35 + -7x Combine like terms: 7x + -7x = 0 5X + 0 + xX = -35 + -7x 5X + xX = -35 + -7x 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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