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Simplifying (x + 5) + -3(X + 5)(x + 5) = 0 Reorder the terms: (5 + x) + -3(X + 5)(x + 5) = 0 Remove parenthesis around (5 + x) 5 + x + -3(X + 5)(x + 5) = 0 Reorder the terms: 5 + x + -3(5 + X)(x + 5) = 0 Reorder the terms: 5 + x + -3(5 + X)(5 + x) = 0 Multiply (5 + X) * (5 + x) 5 + x + -3(5(5 + x) + X(5 + x)) = 0 5 + x + -3((5 * 5 + x * 5) + X(5 + x)) = 0 5 + x + -3((25 + 5x) + X(5 + x)) = 0 5 + x + -3(25 + 5x + (5 * X + x * X)) = 0 5 + x + -3(25 + 5x + (5X + xX)) = 0 Reorder the terms: 5 + x + -3(25 + 5X + 5x + xX) = 0 5 + x + -3(25 + 5X + 5x + xX) = 0 5 + x + (25 * -3 + 5X * -3 + 5x * -3 + xX * -3) = 0 5 + x + (-75 + -15X + -15x + -3xX) = 0 Reorder the terms: 5 + -75 + -15X + x + -15x + -3xX = 0 Combine like terms: 5 + -75 = -70 -70 + -15X + x + -15x + -3xX = 0 Combine like terms: x + -15x = -14x -70 + -15X + -14x + -3xX = 0 Solving -70 + -15X + -14x + -3xX = 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 + -15X + -14x + 70 + -3xX = 0 + 70 Reorder the terms: -70 + 70 + -15X + -14x + -3xX = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -15X + -14x + -3xX = 0 + 70 -15X + -14x + -3xX = 0 + 70 Combine like terms: 0 + 70 = 70 -15X + -14x + -3xX = 70 Add '14x' to each side of the equation. -15X + -14x + 14x + -3xX = 70 + 14x Combine like terms: -14x + 14x = 0 -15X + 0 + -3xX = 70 + 14x -15X + -3xX = 70 + 14x Reorder the terms: -70 + -15X + -14x + -3xX = 70 + 14x + -70 + -14x Reorder the terms: -70 + -15X + -14x + -3xX = 70 + -70 + 14x + -14x Combine like terms: 70 + -70 = 0 -70 + -15X + -14x + -3xX = 0 + 14x + -14x -70 + -15X + -14x + -3xX = 14x + -14x Combine like terms: 14x + -14x = 0 -70 + -15X + -14x + -3xX = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(70 + 15X + 14x + 3xX) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(70 + 15X + 14x + 3xX)' equal to zero and attempt to solve: Simplifying 70 + 15X + 14x + 3xX = 0 Solving 70 + 15X + 14x + 3xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + 15X + 14x + -70 + 3xX = 0 + -70 Reorder the terms: 70 + -70 + 15X + 14x + 3xX = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 15X + 14x + 3xX = 0 + -70 15X + 14x + 3xX = 0 + -70 Combine like terms: 0 + -70 = -70 15X + 14x + 3xX = -70 Add '-14x' to each side of the equation. 15X + 14x + -14x + 3xX = -70 + -14x Combine like terms: 14x + -14x = 0 15X + 0 + 3xX = -70 + -14x 15X + 3xX = -70 + -14x 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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