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Simplifying -1 = 5kx + 2x + 3k Reorder the terms: -1 = 3k + 5kx + 2x Solving -1 = 3k + 5kx + 2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -1 + -3k = 3k + 5kx + -3k + 2x Reorder the terms: -1 + -3k = 3k + -3k + 5kx + 2x Combine like terms: 3k + -3k = 0 -1 + -3k = 0 + 5kx + 2x -1 + -3k = 5kx + 2x Add '-5kx' to each side of the equation. -1 + -3k + -5kx = 5kx + -5kx + 2x Combine like terms: 5kx + -5kx = 0 -1 + -3k + -5kx = 0 + 2x -1 + -3k + -5kx = 2x Add '1' to each side of the equation. -1 + -3k + 1 + -5kx = 1 + 2x Reorder the terms: -1 + 1 + -3k + -5kx = 1 + 2x Combine like terms: -1 + 1 = 0 0 + -3k + -5kx = 1 + 2x -3k + -5kx = 1 + 2x Reorder the terms: -1 + -3k + -5kx + -2x = 1 + 2x + -1 + -2x Reorder the terms: -1 + -3k + -5kx + -2x = 1 + -1 + 2x + -2x Combine like terms: 1 + -1 = 0 -1 + -3k + -5kx + -2x = 0 + 2x + -2x -1 + -3k + -5kx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -3k + -5kx + -2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 3k + 5kx + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 3k + 5kx + 2x)' equal to zero and attempt to solve: Simplifying 1 + 3k + 5kx + 2x = 0 Solving 1 + 3k + 5kx + 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 + 3k + 5kx + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + 3k + 5kx + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3k + 5kx + 2x = 0 + -1 3k + 5kx + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 3k + 5kx + 2x = -1 Add '-2x' to each side of the equation. 3k + 5kx + 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 3k + 5kx + 0 = -1 + -2x 3k + 5kx = -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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