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Simplifying -2kx2 + 4x + 6k = 0 Reorder the terms: 6k + -2kx2 + 4x = 0 Solving 6k + -2kx2 + 4x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4x' to each side of the equation. 6k + -2kx2 + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 6k + -2kx2 + 0 = 0 + -4x 6k + -2kx2 = 0 + -4x Remove the zero: 6k + -2kx2 = -4x Combine like terms: -4x + 4x = 0 6k + -2kx2 + 4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3k + -1kx2 + 2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3k + -1kx2 + 2x)' equal to zero and attempt to solve: Simplifying 3k + -1kx2 + 2x = 0 Solving 3k + -1kx2 + 2x = 0 Move all terms containing k to the left, all other terms to the right. Add '-2x' to each side of the equation. 3k + -1kx2 + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 3k + -1kx2 + 0 = 0 + -2x 3k + -1kx2 = 0 + -2x Remove the zero: 3k + -1kx2 = -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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