(6M^2+7N^2-5M)-(7M^2-5M+4N-7M^2+4N^2)=

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Solution for (6M^2+7N^2-5M)-(7M^2-5M+4N-7M^2+4N^2)= equation: 


Simplifying
(6M2 + 7N2 + -5M) + -1(7M2 + -5M + 4N + -7M2 + 4N2) = 0

Reorder the terms:
(-5M + 6M2 + 7N2) + -1(7M2 + -5M + 4N + -7M2 + 4N2) = 0

Remove parenthesis around (-5M + 6M2 + 7N2)
-5M + 6M2 + 7N2 + -1(7M2 + -5M + 4N + -7M2 + 4N2) = 0

Reorder the terms:
-5M + 6M2 + 7N2 + -1(-5M + 7M2 + -7M2 + 4N + 4N2) = 0

Combine like terms: 7M2 + -7M2 = 0
-5M + 6M2 + 7N2 + -1(-5M + 0 + 4N + 4N2) = 0
-5M + 6M2 + 7N2 + -1(-5M + 4N + 4N2) = 0
-5M + 6M2 + 7N2 + (-5M * -1 + 4N * -1 + 4N2 * -1) = 0
-5M + 6M2 + 7N2 + (5M + -4N + -4N2) = 0

Reorder the terms:
-5M + 5M + 6M2 + -4N + 7N2 + -4N2 = 0

Combine like terms: -5M + 5M = 0
0 + 6M2 + -4N + 7N2 + -4N2 = 0
6M2 + -4N + 7N2 + -4N2 = 0

Combine like terms: 7N2 + -4N2 = 3N2
6M2 + -4N + 3N2 = 0

Solving
6M2 + -4N + 3N2 = 0

Solving for variable 'M'.

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

Add '4N' to each side of the equation.
6M2 + -4N + 4N + 3N2 = 0 + 4N

Combine like terms: -4N + 4N = 0
6M2 + 0 + 3N2 = 0 + 4N
6M2 + 3N2 = 0 + 4N
Remove the zero:
6M2 + 3N2 = 4N

Add '-3N2' to each side of the equation.
6M2 + 3N2 + -3N2 = 4N + -3N2

Combine like terms: 3N2 + -3N2 = 0
6M2 + 0 = 4N + -3N2
6M2 = 4N + -3N2

Divide each side by '6'.
M2 = 0.6666666667N + -0.5N2

Simplifying
M2 = 0.6666666667N + -0.5N2

Reorder the terms:
M2 + -0.6666666667N + 0.5N2 = 0.6666666667N + -0.6666666667N + -0.5N2 + 0.5N2

Combine like terms: 0.6666666667N + -0.6666666667N = 0.0000000000
M2 + -0.6666666667N + 0.5N2 = 0.0000000000 + -0.5N2 + 0.5N2
M2 + -0.6666666667N + 0.5N2 = -0.5N2 + 0.5N2

Combine like terms: -0.5N2 + 0.5N2 = 0.0
M2 + -0.6666666667N + 0.5N2 = 0.0

The solution to this equation could not be determined.

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