p(6p+7)=0

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


Simplifying
p(6p + 7) = 0

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

Solving
7p + 6p2 = 0

Solving for variable 'p'.

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

Simplifying
7 + 6p = 0

Solving
7 + 6p = 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 + 6p = 0 + -7

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

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

Divide each side by '6'.
p = -1.166666667

Simplifying
p = -1.166666667
Solution
p = {0, -1.166666667}

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