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Simplifying 4ax3 + -6ax2 + -6ax + 9a = 0 Reorder the terms: 9a + -6ax + -6ax2 + 4ax3 = 0 Solving 9a + -6ax + -6ax2 + 4ax3 = 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(9 + -6x + -6x2 + 4x3) = 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 '(9 + -6x + -6x2 + 4x3)' equal to zero and attempt to solve: Simplifying 9 + -6x + -6x2 + 4x3 = 0 Solving 9 + -6x + -6x2 + 4x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -6x + -6x2 + -9 + 4x3 = 0 + -9 Reorder the terms: 9 + -9 + -6x + -6x2 + 4x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6x + -6x2 + 4x3 = 0 + -9 -6x + -6x2 + 4x3 = 0 + -9 Combine like terms: 0 + -9 = -9 -6x + -6x2 + 4x3 = -9 Add '6x' to each side of the equation. -6x + -6x2 + 6x + 4x3 = -9 + 6x Reorder the terms: -6x + 6x + -6x2 + 4x3 = -9 + 6x Combine like terms: -6x + 6x = 0 0 + -6x2 + 4x3 = -9 + 6x -6x2 + 4x3 = -9 + 6x Add '6x2' to each side of the equation. -6x2 + 6x2 + 4x3 = -9 + 6x + 6x2 Combine like terms: -6x2 + 6x2 = 0 0 + 4x3 = -9 + 6x + 6x2 4x3 = -9 + 6x + 6x2 Add '-4x3' to each side of the equation. 4x3 + -4x3 = -9 + 6x + 6x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 0 = -9 + 6x + 6x2 + -4x3 Simplifying 0 = -9 + 6x + 6x2 + -4x3 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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