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Simplifying x2 + -24x + 144 = 25 Reorder the terms: 144 + -24x + x2 = 25 Solving 144 + -24x + x2 = 25 Solving for variable 'x'. Reorder the terms: 144 + -25 + -24x + x2 = 25 + -25 Combine like terms: 144 + -25 = 119 119 + -24x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 119 + -24x + x2 = 0 Factor a trinomial. (7 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {7, 17}
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