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

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


Simplifying
2p(p + 2) + 3p(2p + -3) = 0

Reorder the terms:
2p(2 + p) + 3p(2p + -3) = 0
(2 * 2p + p * 2p) + 3p(2p + -3) = 0
(4p + 2p2) + 3p(2p + -3) = 0

Reorder the terms:
4p + 2p2 + 3p(-3 + 2p) = 0
4p + 2p2 + (-3 * 3p + 2p * 3p) = 0
4p + 2p2 + (-9p + 6p2) = 0

Reorder the terms:
4p + -9p + 2p2 + 6p2 = 0

Combine like terms: 4p + -9p = -5p
-5p + 2p2 + 6p2 = 0

Combine like terms: 2p2 + 6p2 = 8p2
-5p + 8p2 = 0

Solving
-5p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-5 + 8p) = 0

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 + 8p)' equal to zero and attempt to solve: Simplifying -5 + 8p = 0 Solving -5 + 8p = 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 + 8p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8p = 0 + 5 8p = 0 + 5 Combine like terms: 0 + 5 = 5 8p = 5 Divide each side by '8'. p = 0.625 Simplifying p = 0.625

Solution

p = {0, 0.625}

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