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Simplifying 10 + -4abs(3x + 2) = 0 Reorder the terms: 10 + -4abs(2 + 3x) = 0 10 + (2 * -4abs + 3x * -4abs) = 0 10 + (-8abs + -12absx) = 0 Solving 10 + -8abs + -12absx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -8abs + -10 + -12absx = 0 + -10 Reorder the terms: 10 + -10 + -8abs + -12absx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -8abs + -12absx = 0 + -10 -8abs + -12absx = 0 + -10 Combine like terms: 0 + -10 = -10 -8abs + -12absx = -10 Reorder the terms: 10 + -8abs + -12absx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -8abs + -12absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -4abs + -6absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4abs + -6absx)' equal to zero and attempt to solve: Simplifying 5 + -4abs + -6absx = 0 Solving 5 + -4abs + -6absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4abs + -5 + -6absx = 0 + -5 Reorder the terms: 5 + -5 + -4abs + -6absx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4abs + -6absx = 0 + -5 -4abs + -6absx = 0 + -5 Combine like terms: 0 + -5 = -5 -4abs + -6absx = -5 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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