p^2+10pq+9p^2=0

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Solution for p^2+10pq+9p^2=0 equation:


Simplifying
p2 + 10pq + 9p2 = 0

Reorder the terms:
10pq + p2 + 9p2 = 0

Combine like terms: p2 + 9p2 = 10p2
10pq + 10p2 = 0

Solving
10pq + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10p'.
10p(q + p) = 0

Ignore the factor 10.

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 = 0

Subproblem 2

Set the factor '(q + p)' equal to zero and attempt to solve: Simplifying q + p = 0 Reorder the terms: p + q = 0 Solving p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 p + 0 = 0 + -1q p = 0 + -1q Remove the zero: p = -1q Simplifying p = -1q

Solution

p = {0, -1q}

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