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Simplifying 8abs(9x + -5) = 6abs(9x + -5) Reorder the terms: 8abs(-5 + 9x) = 6abs(9x + -5) (-5 * 8abs + 9x * 8abs) = 6abs(9x + -5) (-40abs + 72absx) = 6abs(9x + -5) Reorder the terms: -40abs + 72absx = 6abs(-5 + 9x) -40abs + 72absx = (-5 * 6abs + 9x * 6abs) -40abs + 72absx = (-30abs + 54absx) Solving -40abs + 72absx = -30abs + 54absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30abs' to each side of the equation. -40abs + 30abs + 72absx = -30abs + 30abs + 54absx Combine like terms: -40abs + 30abs = -10abs -10abs + 72absx = -30abs + 30abs + 54absx Combine like terms: -30abs + 30abs = 0 -10abs + 72absx = 0 + 54absx -10abs + 72absx = 54absx Add '-54absx' to each side of the equation. -10abs + 72absx + -54absx = 54absx + -54absx Combine like terms: 72absx + -54absx = 18absx -10abs + 18absx = 54absx + -54absx Combine like terms: 54absx + -54absx = 0 -10abs + 18absx = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(-5 + 9x) = 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 '(-5 + 9x)' equal to zero and attempt to solve: Simplifying -5 + 9x = 0 Solving -5 + 9x = 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 + 9x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 0 + 5 9x = 0 + 5 Combine like terms: 0 + 5 = 5 9x = 5 Add '-9x' to each side of the equation. 9x + -9x = 5 + -9x Combine like terms: 9x + -9x = 0 0 = 5 + -9x Simplifying 0 = 5 + -9x 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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