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Simplifying 4xabs(2x + -7) + 5 = 9 Reorder the terms: 4absx(-7 + 2x) + 5 = 9 (-7 * 4absx + 2x * 4absx) + 5 = 9 (-28absx + 8absx2) + 5 = 9 Reorder the terms: 5 + -28absx + 8absx2 = 9 Solving 5 + -28absx + 8absx2 = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -28absx + -5 + 8absx2 = 9 + -5 Reorder the terms: 5 + -5 + -28absx + 8absx2 = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -28absx + 8absx2 = 9 + -5 -28absx + 8absx2 = 9 + -5 Combine like terms: 9 + -5 = 4 -28absx + 8absx2 = 4 Reorder the terms: -4 + -28absx + 8absx2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -28absx + 8absx2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -7absx + 2absx2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -7absx + 2absx2)' equal to zero and attempt to solve: Simplifying -1 + -7absx + 2absx2 = 0 Solving -1 + -7absx + 2absx2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -7absx + 1 + 2absx2 = 0 + 1 Reorder the terms: -1 + 1 + -7absx + 2absx2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7absx + 2absx2 = 0 + 1 -7absx + 2absx2 = 0 + 1 Combine like terms: 0 + 1 = 1 -7absx + 2absx2 = 1 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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