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Simplifying (2x + 7)(2x + 7) = 0 Reorder the terms: (7 + 2x)(2x + 7) = 0 Reorder the terms: (7 + 2x)(7 + 2x) = 0 Multiply (7 + 2x) * (7 + 2x) (7(7 + 2x) + 2x * (7 + 2x)) = 0 ((7 * 7 + 2x * 7) + 2x * (7 + 2x)) = 0 ((49 + 14x) + 2x * (7 + 2x)) = 0 (49 + 14x + (7 * 2x + 2x * 2x)) = 0 (49 + 14x + (14x + 4x2)) = 0 Combine like terms: 14x + 14x = 28x (49 + 28x + 4x2) = 0 Solving 49 + 28x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 2x)(7 + 2x) = 0Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 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 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-3.5, -3.5}
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