6p^2-21p-45=0

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Solution for 6p^2-21p-45=0 equation:


Simplifying
6p2 + -21p + -45 = 0

Reorder the terms:
-45 + -21p + 6p2 = 0

Solving
-45 + -21p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -7p + 2p2) = 0

Factor a trinomial.
3((-3 + -2p)(5 + -1p)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -2p)' equal to zero and attempt to solve: Simplifying -3 + -2p = 0 Solving -3 + -2p = 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 + -2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2p = 0 + 3 -2p = 0 + 3 Combine like terms: 0 + 3 = 3 -2p = 3 Divide each side by '-2'. p = -1.5 Simplifying p = -1.5

Subproblem 2

Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5

Solution

p = {-1.5, 5}

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