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Simplifying 18x2 + 51x = 0 Reorder the terms: 51x + 18x2 = 0 Solving 51x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(17 + 6x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(17 + 6x)' equal to zero and attempt to solve: Simplifying 17 + 6x = 0 Solving 17 + 6x = 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 + 6x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6x = 0 + -17 6x = 0 + -17 Combine like terms: 0 + -17 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333Solution
x = {0, -2.833333333}
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