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Simplifying a + -1q = a + qx Add '-1a' to each side of the equation. a + -1a + -1q = a + -1a + qx Combine like terms: a + -1a = 0 0 + -1q = a + -1a + qx -1q = a + -1a + qx Combine like terms: a + -1a = 0 -1q = 0 + qx -1q = qx Solving -1q = qx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qx' to each side of the equation. -1q + -1qx = qx + -1qx Combine like terms: qx + -1qx = 0 -1q + -1qx = 0 Factor out the Greatest Common Factor (GCF), '-1q'. -1q(1 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 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 q 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 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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