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Simplifying 10ax + -2ax + 12x + -2a + 12x = 0 Reorder the terms: -2a + 10ax + -2ax + 12x + 12x = 0 Combine like terms: 10ax + -2ax = 8ax -2a + 8ax + 12x + 12x = 0 Combine like terms: 12x + 12x = 24x -2a + 8ax + 24x = 0 Solving -2a + 8ax + 24x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24x' to each side of the equation. -2a + 8ax + 24x + -24x = 0 + -24x Combine like terms: 24x + -24x = 0 -2a + 8ax + 0 = 0 + -24x -2a + 8ax = 0 + -24x Remove the zero: -2a + 8ax = -24x Combine like terms: -24x + 24x = 0 -2a + 8ax + 24x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1a + 4ax + 12x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + 4ax + 12x)' equal to zero and attempt to solve: Simplifying -1a + 4ax + 12x = 0 Solving -1a + 4ax + 12x = 0 Move all terms containing a to the left, all other terms to the right. Add '-12x' to each side of the equation. -1a + 4ax + 12x + -12x = 0 + -12x Combine like terms: 12x + -12x = 0 -1a + 4ax + 0 = 0 + -12x -1a + 4ax = 0 + -12x Remove the zero: -1a + 4ax = -12x 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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