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Simplifying 0 = 9x2 + 3kx + k Reorder the terms: 0 = k + 3kx + 9x2 Solving 0 = k + 3kx + 9x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 0 + -1k = k + 3kx + -1k + 9x2 Remove the zero: -1k = k + 3kx + -1k + 9x2 Reorder the terms: -1k = k + -1k + 3kx + 9x2 Combine like terms: k + -1k = 0 -1k = 0 + 3kx + 9x2 -1k = 3kx + 9x2 Add '-3kx' to each side of the equation. -1k + -3kx = 3kx + -3kx + 9x2 Combine like terms: 3kx + -3kx = 0 -1k + -3kx = 0 + 9x2 -1k + -3kx = 9x2 Combine like terms: 9x2 + -9x2 = 0 -1k + -3kx + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(k + 3kx + 9x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(k + 3kx + 9x2)' equal to zero and attempt to solve: Simplifying k + 3kx + 9x2 = 0 Solving k + 3kx + 9x2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-9x2' to each side of the equation. k + 3kx + 9x2 + -9x2 = 0 + -9x2 Combine like terms: 9x2 + -9x2 = 0 k + 3kx + 0 = 0 + -9x2 k + 3kx = 0 + -9x2 Remove the zero: k + 3kx = -9x2 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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