6p(2p-7)=0

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Solution for 6p(2p-7)=0 equation: 


Simplifying
6p(2p + -7) = 0

Reorder the terms:
6p(-7 + 2p) = 0
(-7 * 6p + 2p * 6p) = 0
(-42p + 12p2) = 0

Solving
-42p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(-7 + 2p) = 0

Ignore the factor 6.

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 + 2p)' equal to zero and attempt to solve:

Simplifying
-7 + 2p = 0

Solving
-7 + 2p = 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 + 2p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2p = 0 + 7
2p = 0 + 7

Combine like terms: 0 + 7 = 7
2p = 7

Divide each side by '2'.
p = 3.5

Simplifying
p = 3.5
Solution
p = {0, 3.5}

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