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Simplifying 6ax2 + 6ax + 6a = 6a Reorder the terms: 6a + 6ax + 6ax2 = 6a Add '-6a' to each side of the equation. 6a + 6ax + -6a + 6ax2 = 6a + -6a Reorder the terms: 6a + -6a + 6ax + 6ax2 = 6a + -6a Combine like terms: 6a + -6a = 0 0 + 6ax + 6ax2 = 6a + -6a 6ax + 6ax2 = 6a + -6a Combine like terms: 6a + -6a = 0 6ax + 6ax2 = 0 Solving 6ax + 6ax2 = 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), '6ax'. 6ax(1 + x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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