13p^2+53pq+4q^2=

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Solution for 13p^2+53pq+4q^2= equation:


Simplifying
13p2 + 53pq + 4q2 = 0

Reorder the terms:
53pq + 13p2 + 4q2 = 0

Solving
53pq + 13p2 + 4q2 = 0

Solving for variable 'p'.

Factor a trinomial.
(13p + q)(p + 4q) = 0

Subproblem 1

Set the factor '(13p + q)' equal to zero and attempt to solve: Simplifying 13p + q = 0 Solving 13p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. 13p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 13p + 0 = 0 + -1q 13p = 0 + -1q Remove the zero: 13p = -1q Divide each side by '13'. p = -0.07692307692q Simplifying p = -0.07692307692q

Subproblem 2

Set the factor '(p + 4q)' equal to zero and attempt to solve: Simplifying p + 4q = 0 Solving p + 4q = 0 Move all terms containing p to the left, all other terms to the right. Add '-4q' to each side of the equation. p + 4q + -4q = 0 + -4q Combine like terms: 4q + -4q = 0 p + 0 = 0 + -4q p = 0 + -4q Remove the zero: p = -4q Simplifying p = -4q

Solution

p = {-0.07692307692q, -4q}

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