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Simplifying 6x(x) + -5x + -125 = 0 Multiply x * x 6x2 + -5x + -125 = 0 Reorder the terms: -125 + -5x + 6x2 = 0 Solving -125 + -5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -6x)(5 + -1x) = 0Subproblem 1
Set the factor '(-25 + -6x)' equal to zero and attempt to solve: Simplifying -25 + -6x = 0 Solving -25 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -6x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -6x = 0 + 25 -6x = 0 + 25 Combine like terms: 0 + 25 = 25 -6x = 25 Divide each side by '-6'. x = -4.166666667 Simplifying x = -4.166666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4.166666667, 5}
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