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Simplifying 8(kx + 3) = 12k + -4 Reorder the terms: 8(3 + kx) = 12k + -4 (3 * 8 + kx * 8) = 12k + -4 (24 + 8kx) = 12k + -4 Reorder the terms: 24 + 8kx = -4 + 12k Solving 24 + 8kx = -4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 24 + -12k + 8kx = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 24 + -12k + 8kx = -4 + 0 24 + -12k + 8kx = -4 Add '-24' to each side of the equation. 24 + -12k + -24 + 8kx = -4 + -24 Reorder the terms: 24 + -24 + -12k + 8kx = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -12k + 8kx = -4 + -24 -12k + 8kx = -4 + -24 Combine like terms: -4 + -24 = -28 -12k + 8kx = -28 Reorder the terms: 28 + -12k + 8kx = -28 + 28 Combine like terms: -28 + 28 = 0 28 + -12k + 8kx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -3k + 2kx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -3k + 2kx)' equal to zero and attempt to solve: Simplifying 7 + -3k + 2kx = 0 Solving 7 + -3k + 2kx = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3k + -7 + 2kx = 0 + -7 Reorder the terms: 7 + -7 + -3k + 2kx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3k + 2kx = 0 + -7 -3k + 2kx = 0 + -7 Combine like terms: 0 + -7 = -7 -3k + 2kx = -7 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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