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Simplifying abs(3x + -8) = abs(9x + 15) Reorder the terms: abs(-8 + 3x) = abs(9x + 15) (-8 * abs + 3x * abs) = abs(9x + 15) (-8abs + 3absx) = abs(9x + 15) Reorder the terms: -8abs + 3absx = abs(15 + 9x) -8abs + 3absx = (15 * abs + 9x * abs) -8abs + 3absx = (15abs + 9absx) Solving -8abs + 3absx = 15abs + 9absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15abs' to each side of the equation. -8abs + -15abs + 3absx = 15abs + -15abs + 9absx Combine like terms: -8abs + -15abs = -23abs -23abs + 3absx = 15abs + -15abs + 9absx Combine like terms: 15abs + -15abs = 0 -23abs + 3absx = 0 + 9absx -23abs + 3absx = 9absx Add '-9absx' to each side of the equation. -23abs + 3absx + -9absx = 9absx + -9absx Combine like terms: 3absx + -9absx = -6absx -23abs + -6absx = 9absx + -9absx Combine like terms: 9absx + -9absx = 0 -23abs + -6absx = 0 Factor out the Greatest Common Factor (GCF), '-1abs'. -1abs(23 + 6x) = 0 Ignore the factor -1.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 '(23 + 6x)' equal to zero and attempt to solve: Simplifying 23 + 6x = 0 Solving 23 + 6x = 0 Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = 0 + -23 6x = 0 + -23 Combine like terms: 0 + -23 = -23 6x = -23 Add '-6x' to each side of the equation. 6x + -6x = -23 + -6x Combine like terms: 6x + -6x = 0 0 = -23 + -6x Simplifying 0 = -23 + -6x 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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