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Simplifying 6x(6x + -10) = -25 Reorder the terms: 6x(-10 + 6x) = -25 (-10 * 6x + 6x * 6x) = -25 (-60x + 36x2) = -25 Solving -60x + 36x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + -60x + 36x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -60x + 36x2 = 0 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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