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Simplifying (a3 + -2a2) + -1(3a2 + -4a2) = 0 Reorder the terms: (-2a2 + a3) + -1(3a2 + -4a2) = 0 Remove parenthesis around (-2a2 + a3) -2a2 + a3 + -1(3a2 + -4a2) = 0 Combine like terms: 3a2 + -4a2 = -1a2 -2a2 + a3 + -1(-1a2) = 0 Remove parenthesis around (-1a2) -2a2 + a3 + -1 * -1a2 = 0 Multiply -1 * -1 -2a2 + a3 + 1a2 = 0 Reorder the terms: -2a2 + 1a2 + a3 = 0 Combine like terms: -2a2 + 1a2 = -1a2 -1a2 + a3 = 0 Solving -1a2 + a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a2'. a2(-1 + 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 '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1Solution
a = {0, 1}
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