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Simplifying 4x3 + 16x3 = -16x Combine like terms: 4x3 + 16x3 = 20x3 20x3 = -16x Solving 20x3 = -16x Solving for variable 'x'. Reorder the terms: 16x + 20x3 = -16x + 16x Combine like terms: -16x + 16x = 0 16x + 20x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(4 + 5x2) = 0 Ignore the factor 4.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 '(4 + 5x2)' equal to zero and attempt to solve: Simplifying 4 + 5x2 = 0 Solving 4 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x2 = 0 + -4 5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 5x2 = -4 Divide each side by '5'. x2 = -0.8 Simplifying x2 = -0.8 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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