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Simplifying 3x2 + -100x + 625 = 0 Reorder the terms: 625 + -100x + 3x2 = 0 Solving 625 + -100x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -3x)(25 + -1x) = 0Subproblem 1
Set the factor '(25 + -3x)' equal to zero and attempt to solve: Simplifying 25 + -3x = 0 Solving 25 + -3x = 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 + -3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = 0 + -25 -3x = 0 + -25 Combine like terms: 0 + -25 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {8.333333333, 25}
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