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Simplifying (5x + 6)(5x + 6) = 0 Reorder the terms: (6 + 5x)(5x + 6) = 0 Reorder the terms: (6 + 5x)(6 + 5x) = 0 Multiply (6 + 5x) * (6 + 5x) (6(6 + 5x) + 5x * (6 + 5x)) = 0 ((6 * 6 + 5x * 6) + 5x * (6 + 5x)) = 0 ((36 + 30x) + 5x * (6 + 5x)) = 0 (36 + 30x + (6 * 5x + 5x * 5x)) = 0 (36 + 30x + (30x + 25x2)) = 0 Combine like terms: 30x + 30x = 60x (36 + 60x + 25x2) = 0 Solving 36 + 60x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + 5x)(6 + 5x) = 0Subproblem 1
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-1.2, -1.2}
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