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Simplifying 9x2 + 138x = 0 Reorder the terms: 138x + 9x2 = 0 Solving 138x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(46 + 3x) = 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 '(46 + 3x)' equal to zero and attempt to solve: Simplifying 46 + 3x = 0 Solving 46 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 3x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 0 + -46 3x = 0 + -46 Combine like terms: 0 + -46 = -46 3x = -46 Divide each side by '3'. x = -15.33333333 Simplifying x = -15.33333333Solution
x = {0, -15.33333333}
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