(p+9)(8p+3)=

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Solution for (p+9)(8p+3)= equation:


Simplifying
(p + 9)(8p + 3) = 0

Reorder the terms:
(9 + p)(8p + 3) = 0

Reorder the terms:
(9 + p)(3 + 8p) = 0

Multiply (9 + p) * (3 + 8p)
(9(3 + 8p) + p(3 + 8p)) = 0
((3 * 9 + 8p * 9) + p(3 + 8p)) = 0
((27 + 72p) + p(3 + 8p)) = 0
(27 + 72p + (3 * p + 8p * p)) = 0
(27 + 72p + (3p + 8p2)) = 0

Combine like terms: 72p + 3p = 75p
(27 + 75p + 8p2) = 0

Solving
27 + 75p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(9 + p)(3 + 8p) = 0

Subproblem 1

Set the factor '(9 + p)' equal to zero and attempt to solve: Simplifying 9 + p = 0 Solving 9 + p = 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 + p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + p = 0 + -9 p = 0 + -9 Combine like terms: 0 + -9 = -9 p = -9 Simplifying p = -9

Subproblem 2

Set the factor '(3 + 8p)' equal to zero and attempt to solve: Simplifying 3 + 8p = 0 Solving 3 + 8p = 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 + 8p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8p = 0 + -3 8p = 0 + -3 Combine like terms: 0 + -3 = -3 8p = -3 Divide each side by '8'. p = -0.375 Simplifying p = -0.375

Solution

p = {-9, -0.375}

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