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Simplifying 6x5 + 14x5 + 24x = 0 Reorder the terms: 24x + 6x5 + 14x5 = 0 Combine like terms: 6x5 + 14x5 = 20x5 24x + 20x5 = 0 Solving 24x + 20x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(6 + 5x4) = 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 '(6 + 5x4)' equal to zero and attempt to solve: Simplifying 6 + 5x4 = 0 Solving 6 + 5x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x4 = 0 + -6 5x4 = 0 + -6 Combine like terms: 0 + -6 = -6 5x4 = -6 Divide each side by '5'. x4 = -1.2 Simplifying x4 = -1.2 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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