5p^2=-26p-5

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Solution for 5p^2=-26p-5 equation:


Simplifying
5p2 = -26p + -5

Reorder the terms:
5p2 = -5 + -26p

Solving
5p2 = -5 + -26p

Solving for variable 'p'.

Reorder the terms:
5 + 26p + 5p2 = -5 + -26p + 5 + 26p

Reorder the terms:
5 + 26p + 5p2 = -5 + 5 + -26p + 26p

Combine like terms: -5 + 5 = 0
5 + 26p + 5p2 = 0 + -26p + 26p
5 + 26p + 5p2 = -26p + 26p

Combine like terms: -26p + 26p = 0
5 + 26p + 5p2 = 0

Factor a trinomial.
(5 + p)(1 + 5p) = 0

Subproblem 1

Set the factor '(5 + p)' equal to zero and attempt to solve: Simplifying 5 + p = 0 Solving 5 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + p = 0 + -5 p = 0 + -5 Combine like terms: 0 + -5 = -5 p = -5 Simplifying p = -5

Subproblem 2

Set the factor '(1 + 5p)' equal to zero and attempt to solve: Simplifying 1 + 5p = 0 Solving 1 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 0 + -1 5p = 0 + -1 Combine like terms: 0 + -1 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2

Solution

p = {-5, -0.2}

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