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Simplifying 3x2 + 54x = -51 Reorder the terms: 54x + 3x2 = -51 Solving 54x + 3x2 = -51 Solving for variable 'x'. Reorder the terms: 51 + 54x + 3x2 = -51 + 51 Combine like terms: -51 + 51 = 0 51 + 54x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(17 + 18x + x2) = 0 Factor a trinomial. 3((17 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-17, -1}
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