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Simplifying 2a2x + 2ax + -12x = 0 Reorder the terms: 2ax + 2a2x + -12x = 0 Solving 2ax + 2a2x + -12x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(a + a2 + -6) = 0 Factor a trinomial. 2x((a + -2)(a + 3)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(a + -2)' equal to zero and attempt to solve: Simplifying a + -2 = 0 Reorder the terms: -2 + a = 0 Solving -2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + a = 0 + 2 a = 0 + 2 Combine like terms: 0 + 2 = 2 a = 2 Simplifying a = 2Subproblem 3
Set the factor '(a + 3)' equal to zero and attempt to solve: Simplifying a + 3 = 0 Reorder the terms: 3 + a = 0 Solving 3 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a = 0 + -3 a = 0 + -3 Combine like terms: 0 + -3 = -3 a = -3 Simplifying a = -3Solution
a = {2, -3}
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