6p^2(p+1)=3(p+1)-7p(p+1)

Solution for 6p^2(p+1)=3(p+1)-7p(p+1) equation:

Simplifying
6p2(p + 1) = 3(p + 1) + -7p(p + 1)

Reorder the terms:
6p2(1 + p) = 3(p + 1) + -7p(p + 1)
(1 * 6p2 + p * 6p2) = 3(p + 1) + -7p(p + 1)
(6p2 + 6p3) = 3(p + 1) + -7p(p + 1)

Reorder the terms:
6p2 + 6p3 = 3(1 + p) + -7p(p + 1)
6p2 + 6p3 = (1 * 3 + p * 3) + -7p(p + 1)
6p2 + 6p3 = (3 + 3p) + -7p(p + 1)

Reorder the terms:
6p2 + 6p3 = 3 + 3p + -7p(1 + p)
6p2 + 6p3 = 3 + 3p + (1 * -7p + p * -7p)
6p2 + 6p3 = 3 + 3p + (-7p + -7p2)

Combine like terms: 3p + -7p = -4p
6p2 + 6p3 = 3 + -4p + -7p2

Solving
6p2 + 6p3 = 3 + -4p + -7p2

Solving for variable 'p'.

Reorder the terms:
-3 + 4p + 6p2 + 7p2 + 6p3 = 3 + -4p + -7p2 + -3 + 4p + 7p2

Combine like terms: 6p2 + 7p2 = 13p2
-3 + 4p + 13p2 + 6p3 = 3 + -4p + -7p2 + -3 + 4p + 7p2

Reorder the terms:
-3 + 4p + 13p2 + 6p3 = 3 + -3 + -4p + 4p + -7p2 + 7p2

Combine like terms: 3 + -3 = 0
-3 + 4p + 13p2 + 6p3 = 0 + -4p + 4p + -7p2 + 7p2
-3 + 4p + 13p2 + 6p3 = -4p + 4p + -7p2 + 7p2

Combine like terms: -4p + 4p = 0
-3 + 4p + 13p2 + 6p3 = 0 + -7p2 + 7p2
-3 + 4p + 13p2 + 6p3 = -7p2 + 7p2

Combine like terms: -7p2 + 7p2 = 0
-3 + 4p + 13p2 + 6p3 = 0

The solution to this equation could not be determined.