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Simplifying 2ax + a2 = 2a2 + -4ax Reorder the terms: 2ax + a2 = -4ax + 2a2 Solving 2ax + a2 = -4ax + 2a2 Solving for variable 'a'. Reorder the terms: 2ax + 4ax + a2 + -2a2 = -4ax + 2a2 + 4ax + -2a2 Combine like terms: 2ax + 4ax = 6ax 6ax + a2 + -2a2 = -4ax + 2a2 + 4ax + -2a2 Combine like terms: a2 + -2a2 = -1a2 6ax + -1a2 = -4ax + 2a2 + 4ax + -2a2 Reorder the terms: 6ax + -1a2 = -4ax + 4ax + 2a2 + -2a2 Combine like terms: -4ax + 4ax = 0 6ax + -1a2 = 0 + 2a2 + -2a2 6ax + -1a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 6ax + -1a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(6x + -1a) = 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 '(6x + -1a)' equal to zero and attempt to solve: Simplifying 6x + -1a = 0 Reorder the terms: -1a + 6x = 0 Solving -1a + 6x = 0 Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. -1a + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 -1a + 0 = 0 + -6x -1a = 0 + -6x Remove the zero: -1a = -6x Divide each side by '-1'. a = 6x Simplifying a = 6xSolution
a = {0, 6x}
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