13p-3p=-5p(3+2p)

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Solution for 13p-3p=-5p(3+2p) equation:


Simplifying
13p + -3p = -5p(3 + 2p)

Combine like terms: 13p + -3p = 10p
10p = -5p(3 + 2p)
10p = (3 * -5p + 2p * -5p)
10p = (-15p + -10p2)

Solving
10p = -15p + -10p2

Solving for variable 'p'.

Combine like terms: 10p + 15p = 25p
25p + 10p2 = -15p + -10p2 + 15p + 10p2

Reorder the terms:
25p + 10p2 = -15p + 15p + -10p2 + 10p2

Combine like terms: -15p + 15p = 0
25p + 10p2 = 0 + -10p2 + 10p2
25p + 10p2 = -10p2 + 10p2

Combine like terms: -10p2 + 10p2 = 0
25p + 10p2 = 0

Factor out the Greatest Common Factor (GCF), '5p'.
5p(5 + 2p) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

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

Solution

p = {0, -2.5}

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