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Simplifying 8kx + 6x + 8k = -8 Reorder the terms: 8k + 8kx + 6x = -8 Solving 8k + 8kx + 6x = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. 8k + 8kx + 6x + -6x = -8 + -6x Combine like terms: 6x + -6x = 0 8k + 8kx + 0 = -8 + -6x 8k + 8kx = -8 + -6x Reorder the terms: 8 + 8k + 8kx + 6x = -8 + -6x + 8 + 6x Reorder the terms: 8 + 8k + 8kx + 6x = -8 + 8 + -6x + 6x Combine like terms: -8 + 8 = 0 8 + 8k + 8kx + 6x = 0 + -6x + 6x 8 + 8k + 8kx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8k + 8kx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4k + 4kx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 4k + 4kx + 3x)' equal to zero and attempt to solve: Simplifying 4 + 4k + 4kx + 3x = 0 Solving 4 + 4k + 4kx + 3x = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4k + 4kx + -4 + 3x = 0 + -4 Reorder the terms: 4 + -4 + 4k + 4kx + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4k + 4kx + 3x = 0 + -4 4k + 4kx + 3x = 0 + -4 Combine like terms: 0 + -4 = -4 4k + 4kx + 3x = -4 Add '-3x' to each side of the equation. 4k + 4kx + 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 4k + 4kx + 0 = -4 + -3x 4k + 4kx = -4 + -3x 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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