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Simplifying abs(2x2 + 10x) = 4 Reorder the terms: abs(10x + 2x2) = 4 (10x * abs + 2x2 * abs) = 4 (10absx + 2absx2) = 4 Solving 10absx + 2absx2 = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -4 + 10absx + 2absx2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 10absx + 2absx2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 5absx + absx2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 5absx + absx2)' equal to zero and attempt to solve: Simplifying -2 + 5absx + absx2 = 0 Solving -2 + 5absx + absx2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5absx + 2 + absx2 = 0 + 2 Reorder the terms: -2 + 2 + 5absx + absx2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5absx + absx2 = 0 + 2 5absx + absx2 = 0 + 2 Combine like terms: 0 + 2 = 2 5absx + absx2 = 2 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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