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Simplifying 6x2 + 54x2 + 108x = 0 Reorder the terms: 108x + 6x2 + 54x2 = 0 Combine like terms: 6x2 + 54x2 = 60x2 108x + 60x2 = 0 Solving 108x + 60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x'. 12x(9 + 5x) = 0 Ignore the factor 12.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 '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {0, -1.8}
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