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