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Simplifying Abs(x + 3) = abs(2x + -1) Reorder the terms: bsA(3 + x) = abs(2x + -1) (3 * bsA + x * bsA) = abs(2x + -1) (3bsA + bsxA) = abs(2x + -1) Reorder the terms: 3bsA + bsxA = abs(-1 + 2x) 3bsA + bsxA = (-1 * abs + 2x * abs) 3bsA + bsxA = (-1abs + 2absx) Solving 3bsA + bsxA = -1abs + 2absx 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. 3bsA + abs + bsxA = -1abs + abs + 2absx Reorder the terms: abs + 3bsA + bsxA = -1abs + abs + 2absx Combine like terms: -1abs + abs = 0 abs + 3bsA + bsxA = 0 + 2absx abs + 3bsA + bsxA = 2absx Add '-2absx' to each side of the equation. abs + 3bsA + -2absx + bsxA = 2absx + -2absx Reorder the terms: abs + -2absx + 3bsA + bsxA = 2absx + -2absx Combine like terms: 2absx + -2absx = 0 abs + -2absx + 3bsA + bsxA = 0 Factor out the Greatest Common Factor (GCF), 'bs'. bs(a + -2ax + 3A + xA) = 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 + -2ax + 3A + xA)' equal to zero and attempt to solve: Simplifying a + -2ax + 3A + xA = 0 Reorder the terms: 3A + a + -2ax + xA = 0 Solving 3A + a + -2ax + xA = 0 Move all terms containing b to the left, all other terms to the right. Add '-3A' to each side of the equation. 3A + a + -2ax + -3A + xA = 0 + -3A Reorder the terms: 3A + -3A + a + -2ax + xA = 0 + -3A Combine like terms: 3A + -3A = 0 0 + a + -2ax + xA = 0 + -3A a + -2ax + xA = 0 + -3A Remove the zero: a + -2ax + xA = -3A Add '-1a' to each side of the equation. a + -2ax + -1a + xA = -3A + -1a Reorder the terms: a + -1a + -2ax + xA = -3A + -1a Combine like terms: a + -1a = 0 0 + -2ax + xA = -3A + -1a -2ax + xA = -3A + -1a Add '2ax' to each side of the equation. -2ax + 2ax + xA = -3A + -1a + 2ax Combine like terms: -2ax + 2ax = 0 0 + xA = -3A + -1a + 2ax xA = -3A + -1a + 2ax Add '-1xA' to each side of the equation. xA + -1xA = -3A + -1a + 2ax + -1xA Combine like terms: xA + -1xA = 0 0 = -3A + -1a + 2ax + -1xA Simplifying 0 = -3A + -1a + 2ax + -1xA 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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