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Simplifying 3p2 + -27pk + 60k = 0 Reorder the terms: 60k + -27kp + 3p2 = 0 Solving 60k + -27kp + 3p2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3p2' to each side of the equation. 60k + -27kp + 3p2 + -3p2 = 0 + -3p2 Combine like terms: 3p2 + -3p2 = 0 60k + -27kp + 0 = 0 + -3p2 60k + -27kp = 0 + -3p2 Remove the zero: 60k + -27kp = -3p2 Combine like terms: -3p2 + 3p2 = 0 60k + -27kp + 3p2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20k + -9kp + p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(20k + -9kp + p2)' equal to zero and attempt to solve: Simplifying 20k + -9kp + p2 = 0 Solving 20k + -9kp + p2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-1p2' to each side of the equation. 20k + -9kp + p2 + -1p2 = 0 + -1p2 Combine like terms: p2 + -1p2 = 0 20k + -9kp + 0 = 0 + -1p2 20k + -9kp = 0 + -1p2 Remove the zero: 20k + -9kp = -1p2 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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