p(15p+8)=12

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Solution for p(15p+8)=12 equation:


Simplifying
p(15p + 8) = 12

Reorder the terms:
p(8 + 15p) = 12
(8 * p + 15p * p) = 12
(8p + 15p2) = 12

Solving
8p + 15p2 = 12

Solving for variable 'p'.

Reorder the terms:
-12 + 8p + 15p2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 8p + 15p2 = 0

Factor a trinomial.
(-6 + -5p)(2 + -3p) = 0

Subproblem 1

Set the factor '(-6 + -5p)' equal to zero and attempt to solve: Simplifying -6 + -5p = 0 Solving -6 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5p = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5p = 0 + 6 -5p = 0 + 6 Combine like terms: 0 + 6 = 6 -5p = 6 Divide each side by '-5'. p = -1.2 Simplifying p = -1.2

Subproblem 2

Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667

Solution

p = {-1.2, 0.6666666667}

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