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Simplifying x2 + x + -2352 = 0 Reorder the terms: -2352 + x + x2 = 0 Solving -2352 + x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-49 + -1x)(48 + -1x) = 0Subproblem 1
Set the factor '(-49 + -1x)' equal to zero and attempt to solve: Simplifying -49 + -1x = 0 Solving -49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -1x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -1x = 0 + 49 -1x = 0 + 49 Combine like terms: 0 + 49 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {-49, 48}
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