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Simplifying (X + 13)(2X + 1) = 0 Reorder the terms: (13 + X)(2X + 1) = 0 Reorder the terms: (13 + X)(1 + 2X) = 0 Multiply (13 + X) * (1 + 2X) (13(1 + 2X) + X(1 + 2X)) = 0 ((1 * 13 + 2X * 13) + X(1 + 2X)) = 0 ((13 + 26X) + X(1 + 2X)) = 0 (13 + 26X + (1 * X + 2X * X)) = 0 (13 + 26X + (1X + 2X2)) = 0 Combine like terms: 26X + 1X = 27X (13 + 27X + 2X2) = 0 Solving 13 + 27X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (13 + X)(1 + 2X) = 0Subproblem 1
Set the factor '(13 + X)' equal to zero and attempt to solve: Simplifying 13 + X = 0 Solving 13 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + X = 0 + -13 X = 0 + -13 Combine like terms: 0 + -13 = -13 X = -13 Simplifying X = -13Subproblem 2
Set the factor '(1 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5Solution
X = {-13, -0.5}
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