p^2+5p-84=0

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Solution for p^2+5p-84=0 equation:


Simplifying
p2 + 5p + -84 = 0

Reorder the terms:
-84 + 5p + p2 = 0

Solving
-84 + 5p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-12 + -1p)(7 + -1p) = 0

Subproblem 1

Set the factor '(-12 + -1p)' equal to zero and attempt to solve: Simplifying -12 + -1p = 0 Solving -12 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1p = 0 + 12 -1p = 0 + 12 Combine like terms: 0 + 12 = 12 -1p = 12 Divide each side by '-1'. p = -12 Simplifying p = -12

Subproblem 2

Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7

Solution

p = {-12, 7}

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