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Simplifying 0 = x2 + kx + 2k Reorder the terms: 0 = 2k + kx + x2 Solving 0 = 2k + kx + x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 0 + -2k = 2k + kx + -2k + x2 Remove the zero: -2k = 2k + kx + -2k + x2 Reorder the terms: -2k = 2k + -2k + kx + x2 Combine like terms: 2k + -2k = 0 -2k = 0 + kx + x2 -2k = kx + x2 Add '-1kx' to each side of the equation. -2k + -1kx = kx + -1kx + x2 Combine like terms: kx + -1kx = 0 -2k + -1kx = 0 + x2 -2k + -1kx = x2 Combine like terms: x2 + -1x2 = 0 -2k + -1kx + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2k + kx + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2k + kx + x2)' equal to zero and attempt to solve: Simplifying 2k + kx + x2 = 0 Solving 2k + kx + x2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. 2k + kx + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 2k + kx + 0 = 0 + -1x2 2k + kx = 0 + -1x2 Remove the zero: 2k + kx = -1x2 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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