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Simplifying 2x3 + 5x3 + 6x = 0 Reorder the terms: 6x + 2x3 + 5x3 = 0 Combine like terms: 2x3 + 5x3 = 7x3 6x + 7x3 = 0 Solving 6x + 7x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(6 + 7x2) = 0Subproblem 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 + 7x2)' equal to zero and attempt to solve: Simplifying 6 + 7x2 = 0 Solving 6 + 7x2 = 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 + 7x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x2 = 0 + -6 7x2 = 0 + -6 Combine like terms: 0 + -6 = -6 7x2 = -6 Divide each side by '7'. x2 = -0.8571428571 Simplifying x2 = -0.8571428571 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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