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Simplifying 4x(a + 3) = 12 + 4a Reorder the terms: 4x(3 + a) = 12 + 4a (3 * 4x + a * 4x) = 12 + 4a Reorder the terms: (4ax + 12x) = 12 + 4a (4ax + 12x) = 12 + 4a Solving 4ax + 12x = 12 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 4ax + -4a + 12x = 12 + 4a + -4a Reorder the terms: -4a + 4ax + 12x = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -4a + 4ax + 12x = 12 + 0 -4a + 4ax + 12x = 12 Add '-12x' to each side of the equation. -4a + 4ax + 12x + -12x = 12 + -12x Combine like terms: 12x + -12x = 0 -4a + 4ax + 0 = 12 + -12x -4a + 4ax = 12 + -12x Reorder the terms: -12 + -4a + 4ax + 12x = 12 + -12x + -12 + 12x Reorder the terms: -12 + -4a + 4ax + 12x = 12 + -12 + -12x + 12x Combine like terms: 12 + -12 = 0 -12 + -4a + 4ax + 12x = 0 + -12x + 12x -12 + -4a + 4ax + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -12 + -4a + 4ax + 12x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -1a + ax + 3x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -1a + ax + 3x)' equal to zero and attempt to solve: Simplifying -3 + -1a + ax + 3x = 0 Solving -3 + -1a + ax + 3x = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1a + ax + 3 + 3x = 0 + 3 Reorder the terms: -3 + 3 + -1a + ax + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a + ax + 3x = 0 + 3 -1a + ax + 3x = 0 + 3 Combine like terms: 0 + 3 = 3 -1a + ax + 3x = 3 Add '-3x' to each side of the equation. -1a + ax + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -1a + ax + 0 = 3 + -3x -1a + ax = 3 + -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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