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Simplifying abs(3x + -4) = Abs(3x + 5) Reorder the terms: abs(-4 + 3x) = Abs(3x + 5) (-4 * abs + 3x * abs) = Abs(3x + 5) (-4abs + 3absx) = Abs(3x + 5) Reorder the terms: -4abs + 3absx = bsA(5 + 3x) -4abs + 3absx = (5 * bsA + 3x * bsA) -4abs + 3absx = (5bsA + 3bsxA) Solving -4abs + 3absx = 5bsA + 3bsxA Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -4abs + 3absx + -5bsA + -3bsxA = 5bsA + -5bsA + 3bsxA + -3bsxA Combine like terms: 5bsA + -5bsA = 0 -4abs + 3absx + -5bsA + -3bsxA = 0 + 3bsxA + -3bsxA -4abs + 3absx + -5bsA + -3bsxA = 3bsxA + -3bsxA Combine like terms: 3bsxA + -3bsxA = 0 -4abs + 3absx + -5bsA + -3bsxA = 0 Factor out the Greatest Common Factor (GCF), 'bs'. bs(-4a + 3ax + -5A + -3xA) = 0Subproblem 1
Set the factor 'bs' equal to zero and attempt to solve: Simplifying bs = 0 Solving bs = 0 Move all terms containing a to the left, all other terms to the right. Add '-1bs' to each side of the equation. bs + -1bs = 0 + -1bs Remove the zero: 0 = -1bs Simplifying 0 = -1bs The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4a + 3ax + -5A + -3xA)' equal to zero and attempt to solve: Simplifying -4a + 3ax + -5A + -3xA = 0 Reorder the terms: -5A + -4a + 3ax + -3xA = 0 Solving -5A + -4a + 3ax + -3xA = 0 Move all terms containing a to the left, all other terms to the right. Add '5A' to each side of the equation. -5A + -4a + 3ax + 5A + -3xA = 0 + 5A Reorder the terms: -5A + 5A + -4a + 3ax + -3xA = 0 + 5A Combine like terms: -5A + 5A = 0 0 + -4a + 3ax + -3xA = 0 + 5A -4a + 3ax + -3xA = 0 + 5A Remove the zero: -4a + 3ax + -3xA = 5A Add '3xA' to each side of the equation. -4a + 3ax + -3xA + 3xA = 5A + 3xA Combine like terms: -3xA + 3xA = 0 -4a + 3ax + 0 = 5A + 3xA -4a + 3ax = 5A + 3xA 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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