41p^2+39p+8=p+6p^2

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Solution for 41p^2+39p+8=p+6p^2 equation: 


Simplifying
41p2 + 39p + 8 = p + 6p2

Reorder the terms:
8 + 39p + 41p2 = p + 6p2

Solving
8 + 39p + 41p2 = p + 6p2

Solving for variable 'p'.

Reorder the terms:
8 + 39p + -1p + 41p2 + -6p2 = p + 6p2 + -1p + -6p2

Combine like terms: 39p + -1p = 38p
8 + 38p + 41p2 + -6p2 = p + 6p2 + -1p + -6p2

Combine like terms: 41p2 + -6p2 = 35p2
8 + 38p + 35p2 = p + 6p2 + -1p + -6p2

Reorder the terms:
8 + 38p + 35p2 = p + -1p + 6p2 + -6p2

Combine like terms: p + -1p = 0
8 + 38p + 35p2 = 0 + 6p2 + -6p2
8 + 38p + 35p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
8 + 38p + 35p2 = 0

Factor a trinomial.
(4 + 5p)(2 + 7p) = 0


Subproblem 1
Set the factor '(4 + 5p)' equal to zero and attempt to solve:

Simplifying
4 + 5p = 0

Solving
4 + 5p = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5p = 0 + -4
5p = 0 + -4

Combine like terms: 0 + -4 = -4
5p = -4

Divide each side by '5'.
p = -0.8

Simplifying
p = -0.8

Subproblem 2
Set the factor '(2 + 7p)' equal to zero and attempt to solve:

Simplifying
2 + 7p = 0

Solving
2 + 7p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7p = 0 + -2

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

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

Divide each side by '7'.
p = -0.2857142857

Simplifying
p = -0.2857142857
Solution
p = {-0.8, -0.2857142857}

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