(6a^4-4b^2+5)-(-a^4+6)=

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Solution for (6a^4-4b^2+5)-(-a^4+6)= equation:


Simplifying
(6a4 + -4b2 + 5) + -1(-1a4 + 6) = 0

Reorder the terms:
(5 + 6a4 + -4b2) + -1(-1a4 + 6) = 0

Remove parenthesis around (5 + 6a4 + -4b2)
5 + 6a4 + -4b2 + -1(-1a4 + 6) = 0

Reorder the terms:
5 + 6a4 + -4b2 + -1(6 + -1a4) = 0
5 + 6a4 + -4b2 + (6 * -1 + -1a4 * -1) = 0
5 + 6a4 + -4b2 + (-6 + 1a4) = 0

Reorder the terms:
5 + -6 + 6a4 + 1a4 + -4b2 = 0

Combine like terms: 5 + -6 = -1
-1 + 6a4 + 1a4 + -4b2 = 0

Combine like terms: 6a4 + 1a4 = 7a4
-1 + 7a4 + -4b2 = 0

Solving
-1 + 7a4 + -4b2 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 7a4 + 1 + -4b2 = 0 + 1

Reorder the terms:
-1 + 1 + 7a4 + -4b2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7a4 + -4b2 = 0 + 1
7a4 + -4b2 = 0 + 1

Combine like terms: 0 + 1 = 1
7a4 + -4b2 = 1

Add '4b2' to each side of the equation.
7a4 + -4b2 + 4b2 = 1 + 4b2

Combine like terms: -4b2 + 4b2 = 0
7a4 + 0 = 1 + 4b2
7a4 = 1 + 4b2

Divide each side by '7'.
a4 = 0.1428571429 + 0.5714285714b2

Simplifying
a4 = 0.1428571429 + 0.5714285714b2

Reorder the terms:
-0.1428571429 + a4 + -0.5714285714b2 = 0.1428571429 + 0.5714285714b2 + -0.1428571429 + -0.5714285714b2

Reorder the terms:
-0.1428571429 + a4 + -0.5714285714b2 = 0.1428571429 + -0.1428571429 + 0.5714285714b2 + -0.5714285714b2

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
-0.1428571429 + a4 + -0.5714285714b2 = 0.0000000000 + 0.5714285714b2 + -0.5714285714b2
-0.1428571429 + a4 + -0.5714285714b2 = 0.5714285714b2 + -0.5714285714b2

Combine like terms: 0.5714285714b2 + -0.5714285714b2 = 0.0000000000
-0.1428571429 + a4 + -0.5714285714b2 = 0.0000000000

The solution to this equation could not be determined.

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