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Simplifying 4ax + -10a + -6x + -20 = 0 Reorder the terms: -20 + -10a + 4ax + -6x = 0 Solving -20 + -10a + 4ax + -6x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -10a + 4ax + 20 + -6x = 0 + 20 Reorder the terms: -20 + 20 + -10a + 4ax + -6x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -10a + 4ax + -6x = 0 + 20 -10a + 4ax + -6x = 0 + 20 Combine like terms: 0 + 20 = 20 -10a + 4ax + -6x = 20 Add '6x' to each side of the equation. -10a + 4ax + -6x + 6x = 20 + 6x Combine like terms: -6x + 6x = 0 -10a + 4ax + 0 = 20 + 6x -10a + 4ax = 20 + 6x Reorder the terms: -20 + -10a + 4ax + -6x = 20 + 6x + -20 + -6x Reorder the terms: -20 + -10a + 4ax + -6x = 20 + -20 + 6x + -6x Combine like terms: 20 + -20 = 0 -20 + -10a + 4ax + -6x = 0 + 6x + -6x -20 + -10a + 4ax + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -10a + 4ax + -6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -5a + 2ax + -3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -5a + 2ax + -3x)' equal to zero and attempt to solve: Simplifying -10 + -5a + 2ax + -3x = 0 Solving -10 + -5a + 2ax + -3x = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -5a + 2ax + 10 + -3x = 0 + 10 Reorder the terms: -10 + 10 + -5a + 2ax + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5a + 2ax + -3x = 0 + 10 -5a + 2ax + -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -5a + 2ax + -3x = 10 Add '3x' to each side of the equation. -5a + 2ax + -3x + 3x = 10 + 3x Combine like terms: -3x + 3x = 0 -5a + 2ax + 0 = 10 + 3x -5a + 2ax = 10 + 3x 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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