(p+9)(p-8)=0

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Solution for (p+9)(p-8)=0 equation:


Simplifying
(p + 9)(p + -8) = 0

Reorder the terms:
(9 + p)(p + -8) = 0

Reorder the terms:
(9 + p)(-8 + p) = 0

Multiply (9 + p) * (-8 + p)
(9(-8 + p) + p(-8 + p)) = 0
((-8 * 9 + p * 9) + p(-8 + p)) = 0
((-72 + 9p) + p(-8 + p)) = 0
(-72 + 9p + (-8 * p + p * p)) = 0
(-72 + 9p + (-8p + p2)) = 0

Combine like terms: 9p + -8p = 1p
(-72 + 1p + p2) = 0

Solving
-72 + 1p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-9 + -1p)(8 + -1p) = 0

Subproblem 1

Set the factor '(-9 + -1p)' equal to zero and attempt to solve: Simplifying -9 + -1p = 0 Solving -9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1p = 0 + 9 -1p = 0 + 9 Combine like terms: 0 + 9 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9

Subproblem 2

Set the factor '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8

Solution

p = {-9, 8}

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