(2m-8n+7p)(2m+8n-7p)=

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Solution for (2m-8n+7p)(2m+8n-7p)= equation: 


Simplifying
(2m + -8n + 7p)(2m + 8n + -7p) = 0

Multiply (2m + -8n + 7p) * (2m + 8n + -7p)
(2m * (2m + 8n + -7p) + -8n * (2m + 8n + -7p) + 7p * (2m + 8n + -7p)) = 0
((2m * 2m + 8n * 2m + -7p * 2m) + -8n * (2m + 8n + -7p) + 7p * (2m + 8n + -7p)) = 0

Reorder the terms:
((16mn + -14mp + 4m2) + -8n * (2m + 8n + -7p) + 7p * (2m + 8n + -7p)) = 0
((16mn + -14mp + 4m2) + -8n * (2m + 8n + -7p) + 7p * (2m + 8n + -7p)) = 0
(16mn + -14mp + 4m2 + (2m * -8n + 8n * -8n + -7p * -8n) + 7p * (2m + 8n + -7p)) = 0

Reorder the terms:
(16mn + -14mp + 4m2 + (-16mn + 56np + -64n2) + 7p * (2m + 8n + -7p)) = 0
(16mn + -14mp + 4m2 + (-16mn + 56np + -64n2) + 7p * (2m + 8n + -7p)) = 0
(16mn + -14mp + 4m2 + -16mn + 56np + -64n2 + (2m * 7p + 8n * 7p + -7p * 7p)) = 0
(16mn + -14mp + 4m2 + -16mn + 56np + -64n2 + (14mp + 56np + -49p2)) = 0

Reorder the terms:
(16mn + -16mn + -14mp + 14mp + 4m2 + 56np + 56np + -64n2 + -49p2) = 0

Combine like terms: 16mn + -16mn = 0
(0 + -14mp + 14mp + 4m2 + 56np + 56np + -64n2 + -49p2) = 0
(-14mp + 14mp + 4m2 + 56np + 56np + -64n2 + -49p2) = 0

Combine like terms: -14mp + 14mp = 0
(0 + 4m2 + 56np + 56np + -64n2 + -49p2) = 0
(4m2 + 56np + 56np + -64n2 + -49p2) = 0

Combine like terms: 56np + 56np = 112np
(4m2 + 112np + -64n2 + -49p2) = 0

Solving
4m2 + 112np + -64n2 + -49p2 = 0

Solving for variable 'm'.

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

Add '-112np' to each side of the equation.
4m2 + 112np + -64n2 + -112np + -49p2 = 0 + -112np

Reorder the terms:
4m2 + 112np + -112np + -64n2 + -49p2 = 0 + -112np

Combine like terms: 112np + -112np = 0
4m2 + 0 + -64n2 + -49p2 = 0 + -112np
4m2 + -64n2 + -49p2 = 0 + -112np
Remove the zero:
4m2 + -64n2 + -49p2 = -112np

Add '64n2' to each side of the equation.
4m2 + -64n2 + 64n2 + -49p2 = -112np + 64n2

Combine like terms: -64n2 + 64n2 = 0
4m2 + 0 + -49p2 = -112np + 64n2
4m2 + -49p2 = -112np + 64n2

Add '49p2' to each side of the equation.
4m2 + -49p2 + 49p2 = -112np + 64n2 + 49p2

Combine like terms: -49p2 + 49p2 = 0
4m2 + 0 = -112np + 64n2 + 49p2
4m2 = -112np + 64n2 + 49p2

Divide each side by '4'.
m2 = -28np + 16n2 + 12.25p2

Simplifying
m2 = -28np + 16n2 + 12.25p2

Reorder the terms:
m2 + 28np + -16n2 + -12.25p2 = -28np + 28np + 16n2 + -16n2 + 12.25p2 + -12.25p2

Combine like terms: -28np + 28np = 0
m2 + 28np + -16n2 + -12.25p2 = 0 + 16n2 + -16n2 + 12.25p2 + -12.25p2
m2 + 28np + -16n2 + -12.25p2 = 16n2 + -16n2 + 12.25p2 + -12.25p2

Combine like terms: 16n2 + -16n2 = 0
m2 + 28np + -16n2 + -12.25p2 = 0 + 12.25p2 + -12.25p2
m2 + 28np + -16n2 + -12.25p2 = 12.25p2 + -12.25p2

Combine like terms: 12.25p2 + -12.25p2 = 0.00
m2 + 28np + -16n2 + -12.25p2 = 0.00

The solution to this equation could not be determined.

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