9p^2+18p-61=-6

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Solution for 9p^2+18p-61=-6 equation:


Simplifying
9p2 + 18p + -61 = -6

Reorder the terms:
-61 + 18p + 9p2 = -6

Solving
-61 + 18p + 9p2 = -6

Solving for variable 'p'.

Reorder the terms:
-61 + 6 + 18p + 9p2 = -6 + 6

Combine like terms: -61 + 6 = -55
-55 + 18p + 9p2 = -6 + 6

Combine like terms: -6 + 6 = 0
-55 + 18p + 9p2 = 0

Factor a trinomial.
(-11 + -3p)(5 + -3p) = 0

Subproblem 1

Set the factor '(-11 + -3p)' equal to zero and attempt to solve: Simplifying -11 + -3p = 0 Solving -11 + -3p = 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 + -3p = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3p = 0 + 11 -3p = 0 + 11 Combine like terms: 0 + 11 = 11 -3p = 11 Divide each side by '-3'. p = -3.666666667 Simplifying p = -3.666666667

Subproblem 2

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

Solution

p = {-3.666666667, 1.666666667}

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