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Simplifying x2 + 33x + -7038 = 0 Reorder the terms: -7038 + 33x + x2 = 0 Solving -7038 + 33x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-102 + -1x)(69 + -1x) = 0Subproblem 1
Set the factor '(-102 + -1x)' equal to zero and attempt to solve: Simplifying -102 + -1x = 0 Solving -102 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '102' to each side of the equation. -102 + 102 + -1x = 0 + 102 Combine like terms: -102 + 102 = 0 0 + -1x = 0 + 102 -1x = 0 + 102 Combine like terms: 0 + 102 = 102 -1x = 102 Divide each side by '-1'. x = -102 Simplifying x = -102Subproblem 2
Set the factor '(69 + -1x)' equal to zero and attempt to solve: Simplifying 69 + -1x = 0 Solving 69 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + -1x = 0 + -69 Combine like terms: 69 + -69 = 0 0 + -1x = 0 + -69 -1x = 0 + -69 Combine like terms: 0 + -69 = -69 -1x = -69 Divide each side by '-1'. x = 69 Simplifying x = 69Solution
x = {-102, 69}
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