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Simplifying 5ax3 + 10ax2 + -5ax + -10a = 0 Reorder the terms: -10a + -5ax + 10ax2 + 5ax3 = 0 Solving -10a + -5ax + 10ax2 + 5ax3 = 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), '5a'. 5a(-2 + -1x + 2x2 + x3) = 0 Ignore the factor 5.Subproblem 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 '(-2 + -1x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -2 + -1x + 2x2 + x3 = 0 Solving -2 + -1x + 2x2 + x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1x + 2x2 + 2 + x3 = 0 + 2 Reorder the terms: -2 + 2 + -1x + 2x2 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + 2x2 + x3 = 0 + 2 -1x + 2x2 + x3 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x + 2x2 + x3 = 2 Add 'x' to each side of the equation. -1x + 2x2 + x + x3 = 2 + x Reorder the terms: -1x + x + 2x2 + x3 = 2 + x Combine like terms: -1x + x = 0 0 + 2x2 + x3 = 2 + x 2x2 + x3 = 2 + x Add '-2x2' to each side of the equation. 2x2 + -2x2 + x3 = 2 + x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + x3 = 2 + x + -2x2 x3 = 2 + x + -2x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 2 + x + -2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 2 + x + -2x2 + -1x3 Simplifying 0 = 2 + x + -2x2 + -1x3 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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