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Simplifying 0 = 2k3 + 21k2 + 49k + 30 Reorder the terms: 0 = 30 + 49k + 21k2 + 2k3 Solving 0 = 30 + 49k + 21k2 + 2k3 Solving for variable 'k'. Combine like terms: 0 + -30 = -30 -30 + -49k + -21k2 + -2k3 = 30 + 49k + 21k2 + 2k3 + -30 + -49k + -21k2 + -2k3 Reorder the terms: -30 + -49k + -21k2 + -2k3 = 30 + -30 + 49k + -49k + 21k2 + -21k2 + 2k3 + -2k3 Combine like terms: 30 + -30 = 0 -30 + -49k + -21k2 + -2k3 = 0 + 49k + -49k + 21k2 + -21k2 + 2k3 + -2k3 -30 + -49k + -21k2 + -2k3 = 49k + -49k + 21k2 + -21k2 + 2k3 + -2k3 Combine like terms: 49k + -49k = 0 -30 + -49k + -21k2 + -2k3 = 0 + 21k2 + -21k2 + 2k3 + -2k3 -30 + -49k + -21k2 + -2k3 = 21k2 + -21k2 + 2k3 + -2k3 Combine like terms: 21k2 + -21k2 = 0 -30 + -49k + -21k2 + -2k3 = 0 + 2k3 + -2k3 -30 + -49k + -21k2 + -2k3 = 2k3 + -2k3 Combine like terms: 2k3 + -2k3 = 0 -30 + -49k + -21k2 + -2k3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 49k + 21k2 + 2k3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(30 + 49k + 21k2 + 2k3)' equal to zero and attempt to solve: Simplifying 30 + 49k + 21k2 + 2k3 = 0 Solving 30 + 49k + 21k2 + 2k3 = 0 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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