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Simplifying 10ax + 4x = 6a + 4 Reorder the terms: 10ax + 4x = 4 + 6a Solving 10ax + 4x = 4 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 10ax + -6a + 4x = 4 + 6a + -6a Reorder the terms: -6a + 10ax + 4x = 4 + 6a + -6a Combine like terms: 6a + -6a = 0 -6a + 10ax + 4x = 4 + 0 -6a + 10ax + 4x = 4 Add '-4x' to each side of the equation. -6a + 10ax + 4x + -4x = 4 + -4x Combine like terms: 4x + -4x = 0 -6a + 10ax + 0 = 4 + -4x -6a + 10ax = 4 + -4x Reorder the terms: -4 + -6a + 10ax + 4x = 4 + -4x + -4 + 4x Reorder the terms: -4 + -6a + 10ax + 4x = 4 + -4 + -4x + 4x Combine like terms: 4 + -4 = 0 -4 + -6a + 10ax + 4x = 0 + -4x + 4x -4 + -6a + 10ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -4 + -6a + 10ax + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -3a + 5ax + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3a + 5ax + 2x)' equal to zero and attempt to solve: Simplifying -2 + -3a + 5ax + 2x = 0 Solving -2 + -3a + 5ax + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3a + 5ax + 2 + 2x = 0 + 2 Reorder the terms: -2 + 2 + -3a + 5ax + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3a + 5ax + 2x = 0 + 2 -3a + 5ax + 2x = 0 + 2 Combine like terms: 0 + 2 = 2 -3a + 5ax + 2x = 2 Add '-2x' to each side of the equation. -3a + 5ax + 2x + -2x = 2 + -2x Combine like terms: 2x + -2x = 0 -3a + 5ax + 0 = 2 + -2x -3a + 5ax = 2 + -2x 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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