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Simplifying (6x + 5)(6x + 5) = 0 Reorder the terms: (5 + 6x)(6x + 5) = 0 Reorder the terms: (5 + 6x)(5 + 6x) = 0 Multiply (5 + 6x) * (5 + 6x) (5(5 + 6x) + 6x * (5 + 6x)) = 0 ((5 * 5 + 6x * 5) + 6x * (5 + 6x)) = 0 ((25 + 30x) + 6x * (5 + 6x)) = 0 (25 + 30x + (5 * 6x + 6x * 6x)) = 0 (25 + 30x + (30x + 36x2)) = 0 Combine like terms: 30x + 30x = 60x (25 + 60x + 36x2) = 0 Solving 25 + 60x + 36x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 6x)(5 + 6x) = 0Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {-0.8333333333, -0.8333333333}
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