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Simplifying 0 = (-1x6) + -1(2x5) Remove parenthesis around (2x5) 0 = (-1x6) + -1 * 2x5 Multiply -1 * 2 0 = (-1x6) + -2x5 Reorder the terms: 0 = -2x5 + (-1x6) Solving 0 = -2x5 + (-1x6) Solving for variable 'x'. 0 + 2x5 + x6 = -2x5 + (-1x6) + 2x5 + (x6) Remove the zero: 2x5 + x6 = -2x5 + (-1x6) + 2x5 + (x6) 2x5 + x6 = -2x5 + (-1x6) + 2x5 + x6 Reorder the terms: 2x5 + x6 = -2x5 + 2x5 + (-1x6) + x6 Combine like terms: -2x5 + 2x5 = 0 2x5 + x6 = 0 + (-1x6) + x6 2x5 + x6 = (-1x6) + x6 Combine like terms: (-1x6) + x6 = 0 2x5 + x6 = 0 Factor out the Greatest Common Factor (GCF), 'x5'. x5(2 + 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 '(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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