23p^2-21p-2=0

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Solution for 23p^2-21p-2=0 equation:


Simplifying
23p2 + -21p + -2 = 0

Reorder the terms:
-2 + -21p + 23p2 = 0

Solving
-2 + -21p + 23p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -23p)(1 + -1p) = 0

Subproblem 1

Set the factor '(-2 + -23p)' equal to zero and attempt to solve: Simplifying -2 + -23p = 0 Solving -2 + -23p = 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 + -23p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -23p = 0 + 2 -23p = 0 + 2 Combine like terms: 0 + 2 = 2 -23p = 2 Divide each side by '-23'. p = -0.08695652174 Simplifying p = -0.08695652174

Subproblem 2

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

Solution

p = {-0.08695652174, 1}

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