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Simplifying 3x2 + 102x = 0 Reorder the terms: 102x + 3x2 = 0 Solving 102x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(34 + x) = 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 '(34 + x)' equal to zero and attempt to solve: Simplifying 34 + x = 0 Solving 34 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + x = 0 + -34 x = 0 + -34 Combine like terms: 0 + -34 = -34 x = -34 Simplifying x = -34Solution
x = {0, -34}
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