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Simplifying X2 + -153X + 1296 = 0 Reorder the terms: 1296 + -153X + X2 = 0 Solving 1296 + -153X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + -1X)(144 + -1X) = 0Subproblem 1
Set the factor '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9Subproblem 2
Set the factor '(144 + -1X)' equal to zero and attempt to solve: Simplifying 144 + -1X = 0 Solving 144 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -1X = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -1X = 0 + -144 -1X = 0 + -144 Combine like terms: 0 + -144 = -144 -1X = -144 Divide each side by '-1'. X = 144 Simplifying X = 144Solution
X = {9, 144}
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