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Simplifying 0 = 3x4 + 6x3 Reorder the terms: 0 = 6x3 + 3x4 Solving 0 = 6x3 + 3x4 Solving for variable 'x'. Remove the zero: -6x3 + -3x4 = 6x3 + 3x4 + -6x3 + -3x4 Reorder the terms: -6x3 + -3x4 = 6x3 + -6x3 + 3x4 + -3x4 Combine like terms: 6x3 + -6x3 = 0 -6x3 + -3x4 = 0 + 3x4 + -3x4 -6x3 + -3x4 = 3x4 + -3x4 Combine like terms: 3x4 + -3x4 = 0 -6x3 + -3x4 = 0 Factor out the Greatest Common Factor (GCF), '-3x3'. -3x3(2 + x) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2}
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