28p^2+60p-25=0

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Solution for 28p^2+60p-25=0 equation:


Simplifying
28p2 + 60p + -25 = 0

Reorder the terms:
-25 + 60p + 28p2 = 0

Solving
-25 + 60p + 28p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -2p)(5 + -14p) = 0

Subproblem 1

Set the factor '(-5 + -2p)' equal to zero and attempt to solve: Simplifying -5 + -2p = 0 Solving -5 + -2p = 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 + -2p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2p = 0 + 5 -2p = 0 + 5 Combine like terms: 0 + 5 = 5 -2p = 5 Divide each side by '-2'. p = -2.5 Simplifying p = -2.5

Subproblem 2

Set the factor '(5 + -14p)' equal to zero and attempt to solve: Simplifying 5 + -14p = 0 Solving 5 + -14p = 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 + -14p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14p = 0 + -5 -14p = 0 + -5 Combine like terms: 0 + -5 = -5 -14p = -5 Divide each side by '-14'. p = 0.3571428571 Simplifying p = 0.3571428571

Solution

p = {-2.5, 0.3571428571}

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