2p^2-5p^2+2p-4p=

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Solution for 2p^2-5p^2+2p-4p= equation:


Simplifying
2p2 + -5p2 + 2p + -4p = 0

Reorder the terms:
2p + -4p + 2p2 + -5p2 = 0

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

Combine like terms: 2p2 + -5p2 = -3p2
-2p + -3p2 = 0

Solving
-2p + -3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1p'.
-1p(2 + 3p) = 0

Ignore the factor -1.

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 '(2 + 3p)' equal to zero and attempt to solve: Simplifying 2 + 3p = 0 Solving 2 + 3p = 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 + 3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3p = 0 + -2 3p = 0 + -2 Combine like terms: 0 + -2 = -2 3p = -2 Divide each side by '3'. p = -0.6666666667 Simplifying p = -0.6666666667

Solution

p = {0, -0.6666666667}

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