15p^2+99p-42=0

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Solution for 15p^2+99p-42=0 equation:


Simplifying
15p2 + 99p + -42 = 0

Reorder the terms:
-42 + 99p + 15p2 = 0

Solving
-42 + 99p + 15p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + 33p + 5p2) = 0

Factor a trinomial.
3((-7 + -1p)(2 + -5p)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7

Subproblem 2

Set the factor '(2 + -5p)' equal to zero and attempt to solve: Simplifying 2 + -5p = 0 Solving 2 + -5p = 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 + -5p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5p = 0 + -2 -5p = 0 + -2 Combine like terms: 0 + -2 = -2 -5p = -2 Divide each side by '-5'. p = 0.4 Simplifying p = 0.4

Solution

p = {-7, 0.4}

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