9p^2+9p-12=-2

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Solution for 9p^2+9p-12=-2 equation:


Simplifying
9p2 + 9p + -12 = -2

Reorder the terms:
-12 + 9p + 9p2 = -2

Solving
-12 + 9p + 9p2 = -2

Solving for variable 'p'.

Reorder the terms:
-12 + 2 + 9p + 9p2 = -2 + 2

Combine like terms: -12 + 2 = -10
-10 + 9p + 9p2 = -2 + 2

Combine like terms: -2 + 2 = 0
-10 + 9p + 9p2 = 0

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

Subproblem 1

Set the factor '(-5 + -3p)' equal to zero and attempt to solve: Simplifying -5 + -3p = 0 Solving -5 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3p = 0 + 5 -3p = 0 + 5 Combine like terms: 0 + 5 = 5 -3p = 5 Divide each side by '-3'. p = -1.666666667 Simplifying p = -1.666666667

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 = {-1.666666667, 0.6666666667}

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