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Simplifying (2x + 1)(x + 7) = 0 Reorder the terms: (1 + 2x)(x + 7) = 0 Reorder the terms: (1 + 2x)(7 + x) = 0 Multiply (1 + 2x) * (7 + x) (1(7 + x) + 2x * (7 + x)) = 0 ((7 * 1 + x * 1) + 2x * (7 + x)) = 0 ((7 + 1x) + 2x * (7 + x)) = 0 (7 + 1x + (7 * 2x + x * 2x)) = 0 (7 + 1x + (14x + 2x2)) = 0 Combine like terms: 1x + 14x = 15x (7 + 15x + 2x2) = 0 Solving 7 + 15x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(1 + 2x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 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 = {-7, -0.5}
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