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Simplifying x2 + -54x + 608 = 0 Reorder the terms: 608 + -54x + x2 = 0 Solving 608 + -54x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + -1x)(38 + -1x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(38 + -1x)' equal to zero and attempt to solve: Simplifying 38 + -1x = 0 Solving 38 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 0 + -38 -1x = 0 + -38 Combine like terms: 0 + -38 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38Solution
x = {16, 38}
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