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