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Simplifying a2x3 + 2ax3 + -8a2 + -16a = 0 Reorder the terms: -16a + 2ax3 + -8a2 + a2x3 = 0 Solving -16a + 2ax3 + -8a2 + a2x3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-16 + 2x3 + -8a + ax3) = 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 '(-16 + 2x3 + -8a + ax3)' equal to zero and attempt to solve: Simplifying -16 + 2x3 + -8a + ax3 = 0 Reorder the terms: -16 + -8a + ax3 + 2x3 = 0 Solving -16 + -8a + ax3 + 2x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -8a + ax3 + 16 + 2x3 = 0 + 16 Reorder the terms: -16 + 16 + -8a + ax3 + 2x3 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8a + ax3 + 2x3 = 0 + 16 -8a + ax3 + 2x3 = 0 + 16 Combine like terms: 0 + 16 = 16 -8a + ax3 + 2x3 = 16 Add '-2x3' to each side of the equation. -8a + ax3 + 2x3 + -2x3 = 16 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -8a + ax3 + 0 = 16 + -2x3 -8a + ax3 = 16 + -2x3 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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