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Simplifying (6x + 7)(6x + 7) = 49 Reorder the terms: (7 + 6x)(6x + 7) = 49 Reorder the terms: (7 + 6x)(7 + 6x) = 49 Multiply (7 + 6x) * (7 + 6x) (7(7 + 6x) + 6x * (7 + 6x)) = 49 ((7 * 7 + 6x * 7) + 6x * (7 + 6x)) = 49 ((49 + 42x) + 6x * (7 + 6x)) = 49 (49 + 42x + (7 * 6x + 6x * 6x)) = 49 (49 + 42x + (42x + 36x2)) = 49 Combine like terms: 42x + 42x = 84x (49 + 84x + 36x2) = 49 Add '-49' to each side of the equation. 49 + 84x + -49 + 36x2 = 49 + -49 Reorder the terms: 49 + -49 + 84x + 36x2 = 49 + -49 Combine like terms: 49 + -49 = 0 0 + 84x + 36x2 = 49 + -49 84x + 36x2 = 49 + -49 Combine like terms: 49 + -49 = 0 84x + 36x2 = 0 Solving 84x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(7 + 3x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -2.333333333}
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