=[(4v+5d)+4][(4v+5d)-4]

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Solution for =[(4v+5d)+4][(4v+5d)-4] equation:


Simplifying
0 = [(4v + 5d) + 4][(4v + 5d) + -4]

Reorder the terms:
0 = [(5d + 4v) + 4][(4v + 5d) + -4]

Remove parenthesis around (5d + 4v)
0 = [5d + 4v + 4][(4v + 5d) + -4]

Reorder the terms:
0 = [4 + 5d + 4v][(4v + 5d) + -4]

Reorder the terms:
0 = [4 + 5d + 4v][(5d + 4v) + -4]

Remove parenthesis around (5d + 4v)
0 = [4 + 5d + 4v][5d + 4v + -4]

Reorder the terms:
0 = [4 + 5d + 4v][-4 + 5d + 4v]

Multiply [4 + 5d + 4v] * [-4 + 5d + 4v]
0 = [4[-4 + 5d + 4v] + 5d * [-4 + 5d + 4v] + 4v * [-4 + 5d + 4v]]
0 = [[-4 * 4 + 5d * 4 + 4v * 4] + 5d * [-4 + 5d + 4v] + 4v * [-4 + 5d + 4v]]
0 = [[-16 + 20d + 16v] + 5d * [-4 + 5d + 4v] + 4v * [-4 + 5d + 4v]]
0 = [-16 + 20d + 16v + [-4 * 5d + 5d * 5d + 4v * 5d] + 4v * [-4 + 5d + 4v]]

Reorder the terms:
0 = [-16 + 20d + 16v + [-20d + 20dv + 25d2] + 4v * [-4 + 5d + 4v]]
0 = [-16 + 20d + 16v + [-20d + 20dv + 25d2] + 4v * [-4 + 5d + 4v]]
0 = [-16 + 20d + 16v + -20d + 20dv + 25d2 + [-4 * 4v + 5d * 4v + 4v * 4v]]

Reorder the terms:
0 = [-16 + 20d + 16v + -20d + 20dv + 25d2 + [20dv + -16v + 16v2]]
0 = [-16 + 20d + 16v + -20d + 20dv + 25d2 + [20dv + -16v + 16v2]]

Reorder the terms:
0 = [-16 + 20d + -20d + 20dv + 20dv + 25d2 + 16v + -16v + 16v2]

Combine like terms: 20d + -20d = 0
0 = [-16 + 0 + 20dv + 20dv + 25d2 + 16v + -16v + 16v2]
0 = [-16 + 20dv + 20dv + 25d2 + 16v + -16v + 16v2]

Combine like terms: 20dv + 20dv = 40dv
0 = [-16 + 40dv + 25d2 + 16v + -16v + 16v2]

Combine like terms: 16v + -16v = 0
0 = [-16 + 40dv + 25d2 + 0 + 16v2]
0 = [-16 + 40dv + 25d2 + 16v2]

Solving
0 = -16 + 40dv + 25d2 + 16v2

Solving for variable 'd'.

Combine like terms: 0 + 16 = 16
16 + -40dv + -25d2 + -16v2 = -16 + 40dv + 25d2 + 16v2 + 16 + -40dv + -25d2 + -16v2

Reorder the terms:
16 + -40dv + -25d2 + -16v2 = -16 + 16 + 40dv + -40dv + 25d2 + -25d2 + 16v2 + -16v2

Combine like terms: -16 + 16 = 0
16 + -40dv + -25d2 + -16v2 = 0 + 40dv + -40dv + 25d2 + -25d2 + 16v2 + -16v2
16 + -40dv + -25d2 + -16v2 = 40dv + -40dv + 25d2 + -25d2 + 16v2 + -16v2

Combine like terms: 40dv + -40dv = 0
16 + -40dv + -25d2 + -16v2 = 0 + 25d2 + -25d2 + 16v2 + -16v2
16 + -40dv + -25d2 + -16v2 = 25d2 + -25d2 + 16v2 + -16v2

Combine like terms: 25d2 + -25d2 = 0
16 + -40dv + -25d2 + -16v2 = 0 + 16v2 + -16v2
16 + -40dv + -25d2 + -16v2 = 16v2 + -16v2

Combine like terms: 16v2 + -16v2 = 0
16 + -40dv + -25d2 + -16v2 = 0

The solution to this equation could not be determined.

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