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Simplifying -3X(K + -2) = -2(3K + -1) + 1 Reorder the terms: -3X(-2 + K) = -2(3K + -1) + 1 (-2 * -3X + K * -3X) = -2(3K + -1) + 1 Reorder the terms: (-3KX + 6X) = -2(3K + -1) + 1 (-3KX + 6X) = -2(3K + -1) + 1 Reorder the terms: -3KX + 6X = -2(-1 + 3K) + 1 -3KX + 6X = (-1 * -2 + 3K * -2) + 1 -3KX + 6X = (2 + -6K) + 1 Reorder the terms: -3KX + 6X = 2 + 1 + -6K Combine like terms: 2 + 1 = 3 -3KX + 6X = 3 + -6K Solving -3KX + 6X = 3 + -6K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '6K' to each side of the equation. -3KX + 6K + 6X = 3 + -6K + 6K Reorder the terms: 6K + -3KX + 6X = 3 + -6K + 6K Combine like terms: -6K + 6K = 0 6K + -3KX + 6X = 3 + 0 6K + -3KX + 6X = 3 Add '-6X' to each side of the equation. 6K + -3KX + 6X + -6X = 3 + -6X Combine like terms: 6X + -6X = 0 6K + -3KX + 0 = 3 + -6X 6K + -3KX = 3 + -6X Reorder the terms: -3 + 6K + -3KX + 6X = 3 + -6X + -3 + 6X Reorder the terms: -3 + 6K + -3KX + 6X = 3 + -3 + -6X + 6X Combine like terms: 3 + -3 = 0 -3 + 6K + -3KX + 6X = 0 + -6X + 6X -3 + 6K + -3KX + 6X = -6X + 6X Combine like terms: -6X + 6X = 0 -3 + 6K + -3KX + 6X = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 2K + -1KX + 2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 2K + -1KX + 2X)' equal to zero and attempt to solve: Simplifying -1 + 2K + -1KX + 2X = 0 Solving -1 + 2K + -1KX + 2X = 0 Move all terms containing K to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2K + -1KX + 1 + 2X = 0 + 1 Reorder the terms: -1 + 1 + 2K + -1KX + 2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2K + -1KX + 2X = 0 + 1 2K + -1KX + 2X = 0 + 1 Combine like terms: 0 + 1 = 1 2K + -1KX + 2X = 1 Add '-2X' to each side of the equation. 2K + -1KX + 2X + -2X = 1 + -2X Combine like terms: 2X + -2X = 0 2K + -1KX + 0 = 1 + -2X 2K + -1KX = 1 + -2X 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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