2p^2+40p-7000=0

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Solution for 2p^2+40p-7000=0 equation:


Simplifying
2p2 + 40p + -7000 = 0

Reorder the terms:
-7000 + 40p + 2p2 = 0

Solving
-7000 + 40p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3500 + 20p + p2) = 0

Factor a trinomial.
2((-70 + -1p)(50 + -1p)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-70 + -1p)' equal to zero and attempt to solve: Simplifying -70 + -1p = 0 Solving -70 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -1p = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -1p = 0 + 70 -1p = 0 + 70 Combine like terms: 0 + 70 = 70 -1p = 70 Divide each side by '-1'. p = -70 Simplifying p = -70

Subproblem 2

Set the factor '(50 + -1p)' equal to zero and attempt to solve: Simplifying 50 + -1p = 0 Solving 50 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1p = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1p = 0 + -50 -1p = 0 + -50 Combine like terms: 0 + -50 = -50 -1p = -50 Divide each side by '-1'. p = 50 Simplifying p = 50

Solution

p = {-70, 50}

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