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Simplifying 48x3 + 27x = 0 Reorder the terms: 27x + 48x3 = 0 Solving 27x + 48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(9 + 16x2) = 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 '(9 + 16x2)' equal to zero and attempt to solve: Simplifying 9 + 16x2 = 0 Solving 9 + 16x2 = 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 + 16x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x2 = 0 + -9 16x2 = 0 + -9 Combine like terms: 0 + -9 = -9 16x2 = -9 Divide each side by '16'. x2 = -0.5625 Simplifying x2 = -0.5625 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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