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Simplifying 3x2 + 18x + 34x = 0 Reorder the terms: 18x + 34x + 3x2 = 0 Combine like terms: 18x + 34x = 52x 52x + 3x2 = 0 Solving 52x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(52 + 3x) = 0Subproblem 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 '(52 + 3x)' equal to zero and attempt to solve: Simplifying 52 + 3x = 0 Solving 52 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 3x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 3x = 0 + -52 3x = 0 + -52 Combine like terms: 0 + -52 = -52 3x = -52 Divide each side by '3'. x = -17.33333333 Simplifying x = -17.33333333Solution
x = {0, -17.33333333}
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