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Simplifying (6x(6x + -10)) + 25 = 0 Reorder the terms: (6x(-10 + 6x)) + 25 = 0 ((-10 * 6x + 6x * 6x)) + 25 = 0 ((-60x + 36x2)) + 25 = 0 (-60x + 36x2) + 25 = 0 Remove parenthesis around (-60x + 36x2) -60x + 36x2 + 25 = 0 Reorder the terms: 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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