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Simplifying (x + 3) * abs(x + -2) = 0 Reorder the terms: (3 + x) * abs(x + -2) = 0 Reorder the terms: (3 + x) * abs(-2 + x) = 0 Reorder the terms for easier multiplication: abs(3 + x)(-2 + x) = 0 Multiply (3 + x) * (-2 + x) abs(3(-2 + x) + x(-2 + x)) = 0 abs((-2 * 3 + x * 3) + x(-2 + x)) = 0 abs((-6 + 3x) + x(-2 + x)) = 0 abs(-6 + 3x + (-2 * x + x * x)) = 0 abs(-6 + 3x + (-2x + x2)) = 0 Combine like terms: 3x + -2x = 1x abs(-6 + 1x + x2) = 0 (-6 * abs + 1x * abs + x2 * abs) = 0 (-6abs + 1absx + absx2) = 0 Solving -6abs + 1absx + absx2 = 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), 'abs'. abs(-6 + x + x2) = 0 Factor a trinomial. abs((-3 + -1x)(2 + -1x)) = 0Subproblem 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 '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Add 'x' to each side of the equation. -1x + x = 3 + x Combine like terms: -1x + x = 0 0 = 3 + x Simplifying 0 = 3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
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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