(2p-4)(3p+1)=

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Solution for (2p-4)(3p+1)= equation:


Simplifying
(2p + -4)(3p + 1) = 0

Reorder the terms:
(-4 + 2p)(3p + 1) = 0

Reorder the terms:
(-4 + 2p)(1 + 3p) = 0

Multiply (-4 + 2p) * (1 + 3p)
(-4(1 + 3p) + 2p * (1 + 3p)) = 0
((1 * -4 + 3p * -4) + 2p * (1 + 3p)) = 0
((-4 + -12p) + 2p * (1 + 3p)) = 0
(-4 + -12p + (1 * 2p + 3p * 2p)) = 0
(-4 + -12p + (2p + 6p2)) = 0

Combine like terms: -12p + 2p = -10p
(-4 + -10p + 6p2) = 0

Solving
-4 + -10p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -5p + 3p2) = 0

Factor a trinomial.
2((-1 + -3p)(2 + -1p)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3p)' equal to zero and attempt to solve: Simplifying -1 + -3p = 0 Solving -1 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = 0 + 1 -3p = 0 + 1 Combine like terms: 0 + 1 = 1 -3p = 1 Divide each side by '-3'. p = -0.3333333333 Simplifying p = -0.3333333333

Subproblem 2

Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 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 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2

Solution

p = {-0.3333333333, 2}

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