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