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Simplifying x2 + -36x + 324 = 49 Reorder the terms: 324 + -36x + x2 = 49 Solving 324 + -36x + x2 = 49 Solving for variable 'x'. Reorder the terms: 324 + -49 + -36x + x2 = 49 + -49 Combine like terms: 324 + -49 = 275 275 + -36x + x2 = 49 + -49 Combine like terms: 49 + -49 = 0 275 + -36x + x2 = 0 Factor a trinomial. (11 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 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 = {11, 25}
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