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Simplifying x2 + -18x + -18x + 324 + x2 + -1x + -1x + 1 = x2 Reorder the terms: 324 + 1 + -18x + -18x + -1x + -1x + x2 + x2 = x2 Combine like terms: 324 + 1 = 325 325 + -18x + -18x + -1x + -1x + x2 + x2 = x2 Combine like terms: -18x + -18x = -36x 325 + -36x + -1x + -1x + x2 + x2 = x2 Combine like terms: -36x + -1x = -37x 325 + -37x + -1x + x2 + x2 = x2 Combine like terms: -37x + -1x = -38x 325 + -38x + x2 + x2 = x2 Combine like terms: x2 + x2 = 2x2 325 + -38x + 2x2 = x2 Solving 325 + -38x + 2x2 = x2 Solving for variable 'x'. Combine like terms: 2x2 + -1x2 = 1x2 325 + -38x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 325 + -38x + 1x2 = 0 Factor a trinomial. (13 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 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 = {13, 25}
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