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Simplifying (13 + x) * x = 1764 Reorder the terms for easier multiplication: x(13 + x) = 1764 (13 * x + x * x) = 1764 (13x + x2) = 1764 Solving 13x + x2 = 1764 Solving for variable 'x'. Reorder the terms: -1764 + 13x + x2 = 1764 + -1764 Combine like terms: 1764 + -1764 = 0 -1764 + 13x + x2 = 0 Factor a trinomial. (-49 + -1x)(36 + -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 '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {-49, 36}
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