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Simplifying x + 2 = x2 + -36x + 324 Reorder the terms: 2 + x = x2 + -36x + 324 Reorder the terms: 2 + x = 324 + -36x + x2 Solving 2 + x = 324 + -36x + x2 Solving for variable 'x'. Reorder the terms: 2 + -324 + x + 36x + -1x2 = 324 + -36x + x2 + -324 + 36x + -1x2 Combine like terms: 2 + -324 = -322 -322 + x + 36x + -1x2 = 324 + -36x + x2 + -324 + 36x + -1x2 Combine like terms: x + 36x = 37x -322 + 37x + -1x2 = 324 + -36x + x2 + -324 + 36x + -1x2 Reorder the terms: -322 + 37x + -1x2 = 324 + -324 + -36x + 36x + x2 + -1x2 Combine like terms: 324 + -324 = 0 -322 + 37x + -1x2 = 0 + -36x + 36x + x2 + -1x2 -322 + 37x + -1x2 = -36x + 36x + x2 + -1x2 Combine like terms: -36x + 36x = 0 -322 + 37x + -1x2 = 0 + x2 + -1x2 -322 + 37x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -322 + 37x + -1x2 = 0 Factor a trinomial. (-23 + x)(14 + -1x) = 0Subproblem 1
Set the factor '(-23 + x)' equal to zero and attempt to solve: Simplifying -23 + x = 0 Solving -23 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + x = 0 + 23 x = 0 + 23 Combine like terms: 0 + 23 = 23 x = 23 Simplifying x = 23Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {23, 14}
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