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Simplifying (3x + 7)(3x + 7) = 0 Reorder the terms: (7 + 3x)(3x + 7) = 0 Reorder the terms: (7 + 3x)(7 + 3x) = 0 Multiply (7 + 3x) * (7 + 3x) (7(7 + 3x) + 3x * (7 + 3x)) = 0 ((7 * 7 + 3x * 7) + 3x * (7 + 3x)) = 0 ((49 + 21x) + 3x * (7 + 3x)) = 0 (49 + 21x + (7 * 3x + 3x * 3x)) = 0 (49 + 21x + (21x + 9x2)) = 0 Combine like terms: 21x + 21x = 42x (49 + 42x + 9x2) = 0 Solving 49 + 42x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 3x)(7 + 3x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Solution
x = {-2.333333333, -2.333333333}
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