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Simplifying 0 = 3x6 + -2x5 Reorder the terms: 0 = -2x5 + 3x6 Solving 0 = -2x5 + 3x6 Solving for variable 'x'. Remove the zero: 2x5 + -3x6 = -2x5 + 3x6 + 2x5 + -3x6 Reorder the terms: 2x5 + -3x6 = -2x5 + 2x5 + 3x6 + -3x6 Combine like terms: -2x5 + 2x5 = 0 2x5 + -3x6 = 0 + 3x6 + -3x6 2x5 + -3x6 = 3x6 + -3x6 Combine like terms: 3x6 + -3x6 = 0 2x5 + -3x6 = 0 Factor out the Greatest Common Factor (GCF), 'x5'. x5(2 + -3x) = 0Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667}
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