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Simplifying 10ax + -2a + 12x + -2ax + (-2x) = 0 Reorder the terms: -2a + 10ax + -2ax + 12x + (-2x) = 0 Combine like terms: 10ax + -2ax = 8ax -2a + 8ax + 12x + (-2x) = 0 Combine like terms: 12x + (-2x) = 10x -2a + 8ax + 10x = 0 Solving -2a + 8ax + 10x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10x' to each side of the equation. -2a + 8ax + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 -2a + 8ax + 0 = 0 + -10x -2a + 8ax = 0 + -10x Remove the zero: -2a + 8ax = -10x Combine like terms: -10x + 10x = 0 -2a + 8ax + 10x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1a + 4ax + 5x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1a + 4ax + 5x)' equal to zero and attempt to solve: Simplifying -1a + 4ax + 5x = 0 Solving -1a + 4ax + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. -1a + 4ax + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -1a + 4ax + 0 = 0 + -5x -1a + 4ax = 0 + -5x Remove the zero: -1a + 4ax = -5x 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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