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Simplifying x(x + -11) = 3876 Reorder the terms: x(-11 + x) = 3876 (-11 * x + x * x) = 3876 (-11x + x2) = 3876 Solving -11x + x2 = 3876 Solving for variable 'x'. Reorder the terms: -3876 + -11x + x2 = 3876 + -3876 Combine like terms: 3876 + -3876 = 0 -3876 + -11x + x2 = 0 Factor a trinomial. (-57 + -1x)(68 + -1x) = 0Subproblem 1
Set the factor '(-57 + -1x)' equal to zero and attempt to solve: Simplifying -57 + -1x = 0 Solving -57 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -1x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -1x = 0 + 57 -1x = 0 + 57 Combine like terms: 0 + 57 = 57 -1x = 57 Divide each side by '-1'. x = -57 Simplifying x = -57Subproblem 2
Set the factor '(68 + -1x)' equal to zero and attempt to solve: Simplifying 68 + -1x = 0 Solving 68 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -1x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -1x = 0 + -68 -1x = 0 + -68 Combine like terms: 0 + -68 = -68 -1x = -68 Divide each side by '-1'. x = 68 Simplifying x = 68Solution
x = {-57, 68}
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