7p(1-2p)-3p(2p-4)=

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Solution for 7p(1-2p)-3p(2p-4)= equation: 


Simplifying
7p(1 + -2p) + -3p(2p + -4) = 0
(1 * 7p + -2p * 7p) + -3p(2p + -4) = 0
(7p + -14p2) + -3p(2p + -4) = 0

Reorder the terms:
7p + -14p2 + -3p(-4 + 2p) = 0
7p + -14p2 + (-4 * -3p + 2p * -3p) = 0
7p + -14p2 + (12p + -6p2) = 0

Reorder the terms:
7p + 12p + -14p2 + -6p2 = 0

Combine like terms: 7p + 12p = 19p
19p + -14p2 + -6p2 = 0

Combine like terms: -14p2 + -6p2 = -20p2
19p + -20p2 = 0

Solving
19p + -20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(19 + -20p) = 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 '(19 + -20p)' equal to zero and attempt to solve:

Simplifying
19 + -20p = 0

Solving
19 + -20p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-19' to each side of the equation.
19 + -19 + -20p = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -20p = 0 + -19
-20p = 0 + -19

Combine like terms: 0 + -19 = -19
-20p = -19

Divide each side by '-20'.
p = 0.95

Simplifying
p = 0.95
Solution
p = {0, 0.95}

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