5p^2+12p+-9=0

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Solution for 5p^2+12p+-9=0 equation:


Simplifying
5p2 + 12p + -9 = 0

Reorder the terms:
-9 + 12p + 5p2 = 0

Solving
-9 + 12p + 5p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + -1p)(3 + -5p) = 0

Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3

Subproblem 2

Set the factor '(3 + -5p)' equal to zero and attempt to solve: Simplifying 3 + -5p = 0 Solving 3 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5p = 0 + -3 -5p = 0 + -3 Combine like terms: 0 + -3 = -3 -5p = -3 Divide each side by '-5'. p = 0.6 Simplifying p = 0.6

Solution

p = {-3, 0.6}

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