6p-p(p-1)=0

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Solution for 6p-p(p-1)=0 equation: 


Simplifying
6p + -1p(p + -1) = 0

Reorder the terms:
6p + -1p(-1 + p) = 0
6p + (-1 * -1p + p * -1p) = 0
6p + (1p + -1p2) = 0

Combine like terms: 6p + 1p = 7p
7p + -1p2 = 0

Solving
7p + -1p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(7 + -1p) = 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 '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1p = 0 + -7
-1p = 0 + -7

Combine like terms: 0 + -7 = -7
-1p = -7

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {0, 7}

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