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Simplifying 2ax + -10 = (a + -2) + 5a Reorder the terms: -10 + 2ax = (a + -2) + 5a Reorder the terms: -10 + 2ax = (-2 + a) + 5a Remove parenthesis around (-2 + a) -10 + 2ax = -2 + a + 5a Combine like terms: a + 5a = 6a -10 + 2ax = -2 + 6a Solving -10 + 2ax = -2 + 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. -10 + -6a + 2ax = -2 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + -6a + 2ax = -2 + 0 -10 + -6a + 2ax = -2 Add '10' to each side of the equation. -10 + -6a + 10 + 2ax = -2 + 10 Reorder the terms: -10 + 10 + -6a + 2ax = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -6a + 2ax = -2 + 10 -6a + 2ax = -2 + 10 Combine like terms: -2 + 10 = 8 -6a + 2ax = 8 Reorder the terms: -8 + -6a + 2ax = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -6a + 2ax = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -3a + ax) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3a + ax)' equal to zero and attempt to solve: Simplifying -4 + -3a + ax = 0 Solving -4 + -3a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -3a + 4 + ax = 0 + 4 Reorder the terms: -4 + 4 + -3a + ax = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3a + ax = 0 + 4 -3a + ax = 0 + 4 Combine like terms: 0 + 4 = 4 -3a + ax = 4 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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