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Simplifying 440 = 11(x)(x + -3) Reorder the terms: 440 = 11x(-3 + x) 440 = (-3 * 11x + x * 11x) 440 = (-33x + 11x2) Solving 440 = -33x + 11x2 Solving for variable 'x'. Reorder the terms: 440 + 33x + -11x2 = -33x + 33x + 11x2 + -11x2 Combine like terms: -33x + 33x = 0 440 + 33x + -11x2 = 0 + 11x2 + -11x2 440 + 33x + -11x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 440 + 33x + -11x2 = 0 Factor out the Greatest Common Factor (GCF), '11'. 11(40 + 3x + -1x2) = 0 Factor a trinomial. 11((8 + -1x)(5 + x)) = 0 Ignore the factor 11.Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {8, -5}
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