(p+8)(p-11)=0

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Solution for (p+8)(p-11)=0 equation:


Simplifying
(p + 8)(p + -11) = 0

Reorder the terms:
(8 + p)(p + -11) = 0

Reorder the terms:
(8 + p)(-11 + p) = 0

Multiply (8 + p) * (-11 + p)
(8(-11 + p) + p(-11 + p)) = 0
((-11 * 8 + p * 8) + p(-11 + p)) = 0
((-88 + 8p) + p(-11 + p)) = 0
(-88 + 8p + (-11 * p + p * p)) = 0
(-88 + 8p + (-11p + p2)) = 0

Combine like terms: 8p + -11p = -3p
(-88 + -3p + p2) = 0

Solving
-88 + -3p + p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-8 + -1p)(11 + -1p) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(11 + -1p)' equal to zero and attempt to solve: Simplifying 11 + -1p = 0 Solving 11 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1p = 0 + -11 -1p = 0 + -11 Combine like terms: 0 + -11 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11

Solution

p = {-8, 11}

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