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Simplifying 4x6 + -2x3 + 6x6 + 4x3 = 0 Reorder the terms: -2x3 + 4x3 + 4x6 + 6x6 = 0 Combine like terms: -2x3 + 4x3 = 2x3 2x3 + 4x6 + 6x6 = 0 Combine like terms: 4x6 + 6x6 = 10x6 2x3 + 10x6 = 0 Solving 2x3 + 10x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(1 + 5x3) = 0 Ignore the factor 2.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 '(1 + 5x3)' equal to zero and attempt to solve: Simplifying 1 + 5x3 = 0 Solving 1 + 5x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x3 = 0 + -1 5x3 = 0 + -1 Combine like terms: 0 + -1 = -1 5x3 = -1 Divide each side by '5'. x3 = -0.2 Simplifying x3 = -0.2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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