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Simplifying (12x2) + -200x + 625 = 0 Reorder the terms: 625 + -200x + (12x2) = 0 Solving 625 + -200x + (12x2) = 0 Solving for variable 'x'. Factor a trinomial. (25 + -6x)(25 + -2x) = 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 '(25 + -2x)' equal to zero and attempt to solve: Simplifying 25 + -2x = 0 Solving 25 + -2x = 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 + -2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x = 0 + -25 -2x = 0 + -25 Combine like terms: 0 + -25 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5Solution
x = {4.166666667, 12.5}
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