(7d^4-d^2)-(d^4+2d^2-1)=

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Solution for (7d^4-d^2)-(d^4+2d^2-1)= equation: 


Simplifying
(7d4 + -1d2) + -1(d4 + 2d2 + -1) = 0

Reorder the terms:
(-1d2 + 7d4) + -1(d4 + 2d2 + -1) = 0

Remove parenthesis around (-1d2 + 7d4)
-1d2 + 7d4 + -1(d4 + 2d2 + -1) = 0

Reorder the terms:
-1d2 + 7d4 + -1(-1 + 2d2 + d4) = 0
-1d2 + 7d4 + (-1 * -1 + 2d2 * -1 + d4 * -1) = 0
-1d2 + 7d4 + (1 + -2d2 + -1d4) = 0

Reorder the terms:
1 + -1d2 + -2d2 + 7d4 + -1d4 = 0

Combine like terms: -1d2 + -2d2 = -3d2
1 + -3d2 + 7d4 + -1d4 = 0

Combine like terms: 7d4 + -1d4 = 6d4
1 + -3d2 + 6d4 = 0

Solving
1 + -3d2 + 6d4 = 0

Solving for variable 'd'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.1666666667 + -0.5d2 + d4 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.5d2 + -0.1666666667 + d4 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.5d2 + d4 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.5d2 + d4 = 0 + -0.1666666667
-0.5d2 + d4 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.5d2 + d4 = -0.1666666667

The d term is -0.5d2.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5d2 + 0.0625 + d4 = -0.1666666667 + 0.0625

Reorder the terms:
0.0625 + -0.5d2 + d4 = -0.1666666667 + 0.0625

Combine like terms: -0.1666666667 + 0.0625 = -0.1041666667
0.0625 + -0.5d2 + d4 = -0.1041666667

Factor a perfect square on the left side:
(d2 + -0.25)(d2 + -0.25) = -0.1041666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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