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Simplifying 6p3 + -4pq + 2p = 0 Reorder the terms: 2p + -4pq + 6p3 = 0 Solving 2p + -4pq + 6p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2p'. 2p(1 + -2q + 3p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(1 + -2q + 3p2)' equal to zero and attempt to solve: Simplifying 1 + -2q + 3p2 = 0 Reorder the terms: 1 + 3p2 + -2q = 0 Solving 1 + 3p2 + -2q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3p2 + -1 + -2q = 0 + -1 Reorder the terms: 1 + -1 + 3p2 + -2q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p2 + -2q = 0 + -1 3p2 + -2q = 0 + -1 Combine like terms: 0 + -1 = -1 3p2 + -2q = -1 Add '2q' to each side of the equation. 3p2 + -2q + 2q = -1 + 2q Combine like terms: -2q + 2q = 0 3p2 + 0 = -1 + 2q 3p2 = -1 + 2q Divide each side by '3'. p2 = -0.3333333333 + 0.6666666667q Simplifying p2 = -0.3333333333 + 0.6666666667q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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