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Simplifying ax2 + -4a2x + 4a3 = 0 Solving ax2 + -4a2x + 4a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(x2 + -4ax + 4a2) = 0 Factor a trinomial. a((x + -2a)(x + -2a)) = 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 '(x + -2a)' equal to zero and attempt to solve: Simplifying x + -2a = 0 Reorder the terms: -2a + x = 0 Solving -2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2a + 0 = 0 + -1x -2a = 0 + -1x Remove the zero: -2a = -1x Divide each side by '-2'. a = 0.5x Simplifying a = 0.5xSubproblem 3
Set the factor '(x + -2a)' equal to zero and attempt to solve: Simplifying x + -2a = 0 Reorder the terms: -2a + x = 0 Solving -2a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -2a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -2a + 0 = 0 + -1x -2a = 0 + -1x Remove the zero: -2a = -1x Divide each side by '-2'. a = 0.5x Simplifying a = 0.5xSolution
a = {0, 0.5x, 0.5x}
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