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Simplifying abs(4x + -2) = abs(6x + -4) Reorder the terms: abs(-2 + 4x) = abs(6x + -4) (-2 * abs + 4x * abs) = abs(6x + -4) (-2abs + 4absx) = abs(6x + -4) Reorder the terms: -2abs + 4absx = abs(-4 + 6x) -2abs + 4absx = (-4 * abs + 6x * abs) -2abs + 4absx = (-4abs + 6absx) Solving -2abs + 4absx = -4abs + 6absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4abs' to each side of the equation. -2abs + 4abs + 4absx = -4abs + 4abs + 6absx Combine like terms: -2abs + 4abs = 2abs 2abs + 4absx = -4abs + 4abs + 6absx Combine like terms: -4abs + 4abs = 0 2abs + 4absx = 0 + 6absx 2abs + 4absx = 6absx Add '-6absx' to each side of the equation. 2abs + 4absx + -6absx = 6absx + -6absx Combine like terms: 4absx + -6absx = -2absx 2abs + -2absx = 6absx + -6absx Combine like terms: 6absx + -6absx = 0 2abs + -2absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(1 + -1x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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