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Simplifying (X + 2) * mal(3X + -4) = 3Xmal(X + -2) Reorder the terms: (2 + X) * mal(3X + -4) = 3Xmal(X + -2) Reorder the terms: (2 + X) * alm(-4 + 3X) = 3Xmal(X + -2) Reorder the terms for easier multiplication: alm(2 + X)(-4 + 3X) = 3Xmal(X + -2) Multiply (2 + X) * (-4 + 3X) alm(2(-4 + 3X) + X(-4 + 3X)) = 3Xmal(X + -2) alm((-4 * 2 + 3X * 2) + X(-4 + 3X)) = 3Xmal(X + -2) alm((-8 + 6X) + X(-4 + 3X)) = 3Xmal(X + -2) alm(-8 + 6X + (-4 * X + 3X * X)) = 3Xmal(X + -2) alm(-8 + 6X + (-4X + 3X2)) = 3Xmal(X + -2) Combine like terms: 6X + -4X = 2X alm(-8 + 2X + 3X2) = 3Xmal(X + -2) (-8 * alm + 2X * alm + 3X2 * alm) = 3Xmal(X + -2) (-8alm + 2almX + 3almX2) = 3Xmal(X + -2) Reorder the terms: -8alm + 2almX + 3almX2 = 3almX(-2 + X) -8alm + 2almX + 3almX2 = (-2 * 3almX + X * 3almX) -8alm + 2almX + 3almX2 = (-6almX + 3almX2) Add '-3almX2' to each side of the equation. -8alm + 2almX + 3almX2 + -3almX2 = -6almX + 3almX2 + -3almX2 Combine like terms: 3almX2 + -3almX2 = 0 -8alm + 2almX + 0 = -6almX + 3almX2 + -3almX2 -8alm + 2almX = -6almX + 3almX2 + -3almX2 Combine like terms: 3almX2 + -3almX2 = 0 -8alm + 2almX = -6almX + 0 -8alm + 2almX = -6almX Solving -8alm + 2almX = -6almX Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6almX' to each side of the equation. -8alm + 2almX + 6almX = -6almX + 6almX Combine like terms: 2almX + 6almX = 8almX -8alm + 8almX = -6almX + 6almX Combine like terms: -6almX + 6almX = 0 -8alm + 8almX = 0 Factor out the Greatest Common Factor (GCF), '8alm'. 8alm(-1 + X) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'alm' equal to zero and attempt to solve: Simplifying alm = 0 Solving alm = 0 Move all terms containing a to the left, all other terms to the right. Simplifying alm = 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 '(-1 + X)' equal to zero and attempt to solve: Simplifying -1 + X = 0 Solving -1 + X = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X = 0 + 1 X = 0 + 1 Combine like terms: 0 + 1 = 1 X = 1 Add '-1X' to each side of the equation. X + -1X = 1 + -1X Combine like terms: X + -1X = 0 0 = 1 + -1X Simplifying 0 = 1 + -1X 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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