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Simplifying ax2 + 2ax + 2a = 0 Reorder the terms: 2a + 2ax + ax2 = 0 Solving 2a + 2ax + ax2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'a'. a(2 + 2x + x2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2 + 2x + x2)' equal to zero and attempt to solve: Simplifying 2 + 2x + x2 = 0 Solving 2 + 2x + x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + x2 = 0 + -2 2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + x2 = -2 Add '-2x' to each side of the equation. 2x + -2x + x2 = -2 + -2x Combine like terms: 2x + -2x = 0 0 + x2 = -2 + -2x x2 = -2 + -2x Add '-1x2' to each side of the equation. x2 + -1x2 = -2 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -2 + -2x + -1x2 Simplifying 0 = -2 + -2x + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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