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Simplifying 18ax + -27a + 18 + -12x = 0 Reorder the terms: 18 + -27a + 18ax + -12x = 0 Solving 18 + -27a + 18ax + -12x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -27a + 18ax + -18 + -12x = 0 + -18 Reorder the terms: 18 + -18 + -27a + 18ax + -12x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -27a + 18ax + -12x = 0 + -18 -27a + 18ax + -12x = 0 + -18 Combine like terms: 0 + -18 = -18 -27a + 18ax + -12x = -18 Add '12x' to each side of the equation. -27a + 18ax + -12x + 12x = -18 + 12x Combine like terms: -12x + 12x = 0 -27a + 18ax + 0 = -18 + 12x -27a + 18ax = -18 + 12x Reorder the terms: 18 + -27a + 18ax + -12x = -18 + 12x + 18 + -12x Reorder the terms: 18 + -27a + 18ax + -12x = -18 + 18 + 12x + -12x Combine like terms: -18 + 18 = 0 18 + -27a + 18ax + -12x = 0 + 12x + -12x 18 + -27a + 18ax + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 18 + -27a + 18ax + -12x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -9a + 6ax + -4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -9a + 6ax + -4x)' equal to zero and attempt to solve: Simplifying 6 + -9a + 6ax + -4x = 0 Solving 6 + -9a + 6ax + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -9a + 6ax + -6 + -4x = 0 + -6 Reorder the terms: 6 + -6 + -9a + 6ax + -4x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9a + 6ax + -4x = 0 + -6 -9a + 6ax + -4x = 0 + -6 Combine like terms: 0 + -6 = -6 -9a + 6ax + -4x = -6 Add '4x' to each side of the equation. -9a + 6ax + -4x + 4x = -6 + 4x Combine like terms: -4x + 4x = 0 -9a + 6ax + 0 = -6 + 4x -9a + 6ax = -6 + 4x 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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