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Simplifying Abs(3x + 5) = abs(4x + -1) Reorder the terms: bsA(5 + 3x) = abs(4x + -1) (5 * bsA + 3x * bsA) = abs(4x + -1) (5bsA + 3bsxA) = abs(4x + -1) Reorder the terms: 5bsA + 3bsxA = abs(-1 + 4x) 5bsA + 3bsxA = (-1 * abs + 4x * abs) 5bsA + 3bsxA = (-1abs + 4absx) Solving 5bsA + 3bsxA = -1abs + 4absx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'abs' to each side of the equation. 5bsA + abs + 3bsxA = -1abs + abs + 4absx Reorder the terms: abs + 5bsA + 3bsxA = -1abs + abs + 4absx Combine like terms: -1abs + abs = 0 abs + 5bsA + 3bsxA = 0 + 4absx abs + 5bsA + 3bsxA = 4absx Add '-4absx' to each side of the equation. abs + 5bsA + -4absx + 3bsxA = 4absx + -4absx Reorder the terms: abs + -4absx + 5bsA + 3bsxA = 4absx + -4absx Combine like terms: 4absx + -4absx = 0 abs + -4absx + 5bsA + 3bsxA = 0 Factor out the Greatest Common Factor (GCF), 'bs'. bs(a + -4ax + 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 b to the left, all other terms to the right. Simplifying bs = 0 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 '(a + -4ax + 5A + 3xA)' equal to zero and attempt to solve: Simplifying a + -4ax + 5A + 3xA = 0 Reorder the terms: 5A + a + -4ax + 3xA = 0 Solving 5A + a + -4ax + 3xA = 0 Move all terms containing b to the left, all other terms to the right. Add '-5A' to each side of the equation. 5A + a + -4ax + -5A + 3xA = 0 + -5A Reorder the terms: 5A + -5A + a + -4ax + 3xA = 0 + -5A Combine like terms: 5A + -5A = 0 0 + a + -4ax + 3xA = 0 + -5A a + -4ax + 3xA = 0 + -5A Remove the zero: a + -4ax + 3xA = -5A Add '-1a' to each side of the equation. a + -4ax + -1a + 3xA = -5A + -1a Reorder the terms: a + -1a + -4ax + 3xA = -5A + -1a Combine like terms: a + -1a = 0 0 + -4ax + 3xA = -5A + -1a -4ax + 3xA = -5A + -1a Add '4ax' to each side of the equation. -4ax + 4ax + 3xA = -5A + -1a + 4ax Combine like terms: -4ax + 4ax = 0 0 + 3xA = -5A + -1a + 4ax 3xA = -5A + -1a + 4ax Add '-3xA' to each side of the equation. 3xA + -3xA = -5A + -1a + 4ax + -3xA Combine like terms: 3xA + -3xA = 0 0 = -5A + -1a + 4ax + -3xA Simplifying 0 = -5A + -1a + 4ax + -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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