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Simplifying 3x6 + -5x3 + 6x6 + 7x3 = 0 Reorder the terms: -5x3 + 7x3 + 3x6 + 6x6 = 0 Combine like terms: -5x3 + 7x3 = 2x3 2x3 + 3x6 + 6x6 = 0 Combine like terms: 3x6 + 6x6 = 9x6 2x3 + 9x6 = 0 Solving 2x3 + 9x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(2 + 9x3) = 0Subproblem 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 + 9x3)' equal to zero and attempt to solve: Simplifying 2 + 9x3 = 0 Solving 2 + 9x3 = 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 + 9x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x3 = 0 + -2 9x3 = 0 + -2 Combine like terms: 0 + -2 = -2 9x3 = -2 Divide each side by '9'. x3 = -0.2222222222 Simplifying x3 = -0.2222222222 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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