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Simplifying Abs(5x + 8) = abs(5x + 7) Reorder the terms: bsA(8 + 5x) = abs(5x + 7) (8 * bsA + 5x * bsA) = abs(5x + 7) (8bsA + 5bsxA) = abs(5x + 7) Reorder the terms: 8bsA + 5bsxA = abs(7 + 5x) 8bsA + 5bsxA = (7 * abs + 5x * abs) 8bsA + 5bsxA = (7abs + 5absx) Solving 8bsA + 5bsxA = 7abs + 5absx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7abs' to each side of the equation. 8bsA + -7abs + 5bsxA = 7abs + -7abs + 5absx Reorder the terms: -7abs + 8bsA + 5bsxA = 7abs + -7abs + 5absx Combine like terms: 7abs + -7abs = 0 -7abs + 8bsA + 5bsxA = 0 + 5absx -7abs + 8bsA + 5bsxA = 5absx Add '-5absx' to each side of the equation. -7abs + 8bsA + -5absx + 5bsxA = 5absx + -5absx Reorder the terms: -7abs + -5absx + 8bsA + 5bsxA = 5absx + -5absx Combine like terms: 5absx + -5absx = 0 -7abs + -5absx + 8bsA + 5bsxA = 0 Factor out the Greatest Common Factor (GCF), 'bs'. bs(-7a + -5ax + 8A + 5xA) = 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 '(-7a + -5ax + 8A + 5xA)' equal to zero and attempt to solve: Simplifying -7a + -5ax + 8A + 5xA = 0 Reorder the terms: 8A + -7a + -5ax + 5xA = 0 Solving 8A + -7a + -5ax + 5xA = 0 Move all terms containing b to the left, all other terms to the right. Add '-8A' to each side of the equation. 8A + -7a + -5ax + -8A + 5xA = 0 + -8A Reorder the terms: 8A + -8A + -7a + -5ax + 5xA = 0 + -8A Combine like terms: 8A + -8A = 0 0 + -7a + -5ax + 5xA = 0 + -8A -7a + -5ax + 5xA = 0 + -8A Remove the zero: -7a + -5ax + 5xA = -8A Add '7a' to each side of the equation. -7a + -5ax + 7a + 5xA = -8A + 7a Reorder the terms: -7a + 7a + -5ax + 5xA = -8A + 7a Combine like terms: -7a + 7a = 0 0 + -5ax + 5xA = -8A + 7a -5ax + 5xA = -8A + 7a Add '5ax' to each side of the equation. -5ax + 5ax + 5xA = -8A + 7a + 5ax Combine like terms: -5ax + 5ax = 0 0 + 5xA = -8A + 7a + 5ax 5xA = -8A + 7a + 5ax Add '-5xA' to each side of the equation. 5xA + -5xA = -8A + 7a + 5ax + -5xA Combine like terms: 5xA + -5xA = 0 0 = -8A + 7a + 5ax + -5xA Simplifying 0 = -8A + 7a + 5ax + -5xA 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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