6p(3p+7)=0

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Solution for 6p(3p+7)=0 equation: 


Simplifying
6p(3p + 7) = 0

Reorder the terms:
6p(7 + 3p) = 0
(7 * 6p + 3p * 6p) = 0
(42p + 18p2) = 0

Solving
42p + 18p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6p'.
6p(7 + 3p) = 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 + 3p)' equal to zero and attempt to solve:

Simplifying
7 + 3p = 0

Solving
7 + 3p = 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 + 3p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3p = 0 + -7
3p = 0 + -7

Combine like terms: 0 + -7 = -7
3p = -7

Divide each side by '3'.
p = -2.333333333

Simplifying
p = -2.333333333
Solution
p = {0, -2.333333333}

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