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Simplifying 3(q + -2) + 6aq + -12a = 0 Reorder the terms: 3(-2 + q) + 6aq + -12a = 0 (-2 * 3 + q * 3) + 6aq + -12a = 0 (-6 + 3q) + 6aq + -12a = 0 Reorder the terms: -6 + -12a + 6aq + 3q = 0 Solving -6 + -12a + 6aq + 3q = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -12a + 6aq + 6 + 3q = 0 + 6 Reorder the terms: -6 + 6 + -12a + 6aq + 3q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -12a + 6aq + 3q = 0 + 6 -12a + 6aq + 3q = 0 + 6 Combine like terms: 0 + 6 = 6 -12a + 6aq + 3q = 6 Add '-3q' to each side of the equation. -12a + 6aq + 3q + -3q = 6 + -3q Combine like terms: 3q + -3q = 0 -12a + 6aq + 0 = 6 + -3q -12a + 6aq = 6 + -3q Reorder the terms: -6 + -12a + 6aq + 3q = 6 + -3q + -6 + 3q Reorder the terms: -6 + -12a + 6aq + 3q = 6 + -6 + -3q + 3q Combine like terms: 6 + -6 = 0 -6 + -12a + 6aq + 3q = 0 + -3q + 3q -6 + -12a + 6aq + 3q = -3q + 3q Combine like terms: -3q + 3q = 0 -6 + -12a + 6aq + 3q = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + -4a + 2aq + q) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -4a + 2aq + q)' equal to zero and attempt to solve: Simplifying -2 + -4a + 2aq + q = 0 Solving -2 + -4a + 2aq + q = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4a + 2aq + 2 + q = 0 + 2 Reorder the terms: -2 + 2 + -4a + 2aq + q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4a + 2aq + q = 0 + 2 -4a + 2aq + q = 0 + 2 Combine like terms: 0 + 2 = 2 -4a + 2aq + q = 2 Add '-1q' to each side of the equation. -4a + 2aq + q + -1q = 2 + -1q Combine like terms: q + -1q = 0 -4a + 2aq + 0 = 2 + -1q -4a + 2aq = 2 + -1q 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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