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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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