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