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Simplifying x2 + 5x + 33 = -8x + 3 Reorder the terms: 33 + 5x + x2 = -8x + 3 Reorder the terms: 33 + 5x + x2 = 3 + -8x Solving 33 + 5x + x2 = 3 + -8x Solving for variable 'x'. Reorder the terms: 33 + -3 + 5x + 8x + x2 = 3 + -8x + -3 + 8x Combine like terms: 33 + -3 = 30 30 + 5x + 8x + x2 = 3 + -8x + -3 + 8x Combine like terms: 5x + 8x = 13x 30 + 13x + x2 = 3 + -8x + -3 + 8x Reorder the terms: 30 + 13x + x2 = 3 + -3 + -8x + 8x Combine like terms: 3 + -3 = 0 30 + 13x + x2 = 0 + -8x + 8x 30 + 13x + x2 = -8x + 8x Combine like terms: -8x + 8x = 0 30 + 13x + x2 = 0 Factor a trinomial. (10 + x)(3 + x) = 0Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-10, -3}
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