(6bc+n^2+3p)(-5x+3n^2)=

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Solution for (6bc+n^2+3p)(-5x+3n^2)= equation: 


Simplifying
(6bc + n2 + 3p)(-5x + 3n2) = 0

Reorder the terms:
(6bc + n2 + 3p)(3n2 + -5x) = 0

Multiply (6bc + n2 + 3p) * (3n2 + -5x)
(6bc * (3n2 + -5x) + n2(3n2 + -5x) + 3p * (3n2 + -5x)) = 0
((3n2 * 6bc + -5x * 6bc) + n2(3n2 + -5x) + 3p * (3n2 + -5x)) = 0
((18bcn2 + -30bcx) + n2(3n2 + -5x) + 3p * (3n2 + -5x)) = 0
(18bcn2 + -30bcx + (3n2 * n2 + -5x * n2) + 3p * (3n2 + -5x)) = 0

Reorder the terms:
(18bcn2 + -30bcx + (-5n2x + 3n4) + 3p * (3n2 + -5x)) = 0
(18bcn2 + -30bcx + (-5n2x + 3n4) + 3p * (3n2 + -5x)) = 0
(18bcn2 + -30bcx + -5n2x + 3n4 + (3n2 * 3p + -5x * 3p)) = 0
(18bcn2 + -30bcx + -5n2x + 3n4 + (9n2p + -15px)) = 0

Reorder the terms:
(18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px) = 0
(18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px) = 0

Solving
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 0

Solving for variable 'b'.

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

Add '-9n2p' to each side of the equation.
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -9n2p + -15px = 0 + -9n2p

Reorder the terms:
18bcn2 + -30bcx + 9n2p + -9n2p + -5n2x + 3n4 + -15px = 0 + -9n2p

Combine like terms: 9n2p + -9n2p = 0
18bcn2 + -30bcx + 0 + -5n2x + 3n4 + -15px = 0 + -9n2p
18bcn2 + -30bcx + -5n2x + 3n4 + -15px = 0 + -9n2p
Remove the zero:
18bcn2 + -30bcx + -5n2x + 3n4 + -15px = -9n2p

Add '5n2x' to each side of the equation.
18bcn2 + -30bcx + -5n2x + 3n4 + 5n2x + -15px = -9n2p + 5n2x

Reorder the terms:
18bcn2 + -30bcx + -5n2x + 5n2x + 3n4 + -15px = -9n2p + 5n2x

Combine like terms: -5n2x + 5n2x = 0
18bcn2 + -30bcx + 0 + 3n4 + -15px = -9n2p + 5n2x
18bcn2 + -30bcx + 3n4 + -15px = -9n2p + 5n2x

Add '-3n4' to each side of the equation.
18bcn2 + -30bcx + 3n4 + -3n4 + -15px = -9n2p + 5n2x + -3n4

Combine like terms: 3n4 + -3n4 = 0
18bcn2 + -30bcx + 0 + -15px = -9n2p + 5n2x + -3n4
18bcn2 + -30bcx + -15px = -9n2p + 5n2x + -3n4

Add '15px' to each side of the equation.
18bcn2 + -30bcx + -15px + 15px = -9n2p + 5n2x + -3n4 + 15px

Combine like terms: -15px + 15px = 0
18bcn2 + -30bcx + 0 = -9n2p + 5n2x + -3n4 + 15px
18bcn2 + -30bcx = -9n2p + 5n2x + -3n4 + 15px

Reorder the terms:
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = -9n2p + 9n2p + 5n2x + -5n2x + -3n4 + 3n4 + 15px + -15px

Combine like terms: -9n2p + 9n2p = 0
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 0 + 5n2x + -5n2x + -3n4 + 3n4 + 15px + -15px
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 5n2x + -5n2x + -3n4 + 3n4 + 15px + -15px

Combine like terms: 5n2x + -5n2x = 0
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 0 + -3n4 + 3n4 + 15px + -15px
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = -3n4 + 3n4 + 15px + -15px

Combine like terms: -3n4 + 3n4 = 0
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 0 + 15px + -15px
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 15px + -15px

Combine like terms: 15px + -15px = 0
18bcn2 + -30bcx + 9n2p + -5n2x + 3n4 + -15px = 0

The solution to this equation could not be determined.

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