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Simplifying -2a3 + -5a2 + 3a3 + -1a2 = 0 Reorder the terms: -5a2 + -1a2 + -2a3 + 3a3 = 0 Combine like terms: -5a2 + -1a2 = -6a2 -6a2 + -2a3 + 3a3 = 0 Combine like terms: -2a3 + 3a3 = 1a3 -6a2 + 1a3 = 0 Solving -6a2 + 1a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-6 + a) = 0Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-6 + a)' equal to zero and attempt to solve: Simplifying -6 + a = 0 Solving -6 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + a = 0 + 6 a = 0 + 6 Combine like terms: 0 + 6 = 6 a = 6 Simplifying a = 6Solution
a = {0, 6}
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