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Simplifying 6x5 + -7x6 + -5x5 + 8x6 = 0 Reorder the terms: 6x5 + -5x5 + -7x6 + 8x6 = 0 Combine like terms: 6x5 + -5x5 = 1x5 1x5 + -7x6 + 8x6 = 0 Combine like terms: -7x6 + 8x6 = 1x6 1x5 + 1x6 = 0 Solving 1x5 + 1x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x5'. x5(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1}
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