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Simplifying x2 + -252x + 1476 = 0 Reorder the terms: 1476 + -252x + x2 = 0 Solving 1476 + -252x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(246 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(246 + -1x)' equal to zero and attempt to solve: Simplifying 246 + -1x = 0 Solving 246 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-246' to each side of the equation. 246 + -246 + -1x = 0 + -246 Combine like terms: 246 + -246 = 0 0 + -1x = 0 + -246 -1x = 0 + -246 Combine like terms: 0 + -246 = -246 -1x = -246 Divide each side by '-1'. x = 246 Simplifying x = 246Solution
x = {6, 246}
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