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Simplifying abs(x2 + -5) = 4abs(x) Reorder the terms: abs(-5 + x2) = 4abs(x) (-5 * abs + x2 * abs) = 4abs(x) (-5abs + absx2) = 4abs(x) Multiply abs * x -5abs + absx2 = 4absx Solving -5abs + absx2 = 4absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4absx' to each side of the equation. -5abs + -4absx + absx2 = 4absx + -4absx Combine like terms: 4absx + -4absx = 0 -5abs + -4absx + absx2 = 0 Factor out the Greatest Common Factor (GCF), 'abs'. abs(-5 + -4x + x2) = 0 Factor a trinomial. abs((-1 + -1x)(5 + -1x)) = 0Subproblem 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.Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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