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Simplifying 2a2x + 2ax + -3ax = 0 Reorder the terms: 2ax + -3ax + 2a2x = 0 Combine like terms: 2ax + -3ax = -1ax -1ax + 2a2x = 0 Solving -1ax + 2a2x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ax'. ax(-1 + 2a) = 0Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 0 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 '(-1 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 2a = 0 Solving -1 + 2a = 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 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5Solution
a = {0.5}
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