(5d^2-2g^5)-(3g^3-h+4d^2)=0

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Solution for (5d^2-2g^5)-(3g^3-h+4d^2)=0 equation: 


Simplifying
(5d2 + -2g5) + -1(3g3 + -1h + 4d2) = 0

Remove parenthesis around (5d2 + -2g5)
5d2 + -2g5 + -1(3g3 + -1h + 4d2) = 0

Reorder the terms:
5d2 + -2g5 + -1(4d2 + 3g3 + -1h) = 0
5d2 + -2g5 + (4d2 * -1 + 3g3 * -1 + -1h * -1) = 0
5d2 + -2g5 + (-4d2 + -3g3 + 1h) = 0

Reorder the terms:
5d2 + -4d2 + -3g3 + -2g5 + 1h = 0

Combine like terms: 5d2 + -4d2 = 1d2
1d2 + -3g3 + -2g5 + 1h = 0

Solving
1d2 + -3g3 + -2g5 + 1h = 0

Solving for variable 'd'.

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

Add '3g3' to each side of the equation.
1d2 + -3g3 + -2g5 + 3g3 + 1h = 0 + 3g3

Reorder the terms:
1d2 + -3g3 + 3g3 + -2g5 + 1h = 0 + 3g3

Combine like terms: -3g3 + 3g3 = 0
1d2 + 0 + -2g5 + 1h = 0 + 3g3
1d2 + -2g5 + 1h = 0 + 3g3
Remove the zero:
1d2 + -2g5 + 1h = 3g3

Add '2g5' to each side of the equation.
1d2 + -2g5 + 2g5 + 1h = 3g3 + 2g5

Combine like terms: -2g5 + 2g5 = 0
1d2 + 0 + 1h = 3g3 + 2g5
1d2 + 1h = 3g3 + 2g5

Add '-1h' to each side of the equation.
1d2 + 1h + -1h = 3g3 + 2g5 + -1h

Combine like terms: 1h + -1h = 0
1d2 + 0 = 3g3 + 2g5 + -1h
1d2 = 3g3 + 2g5 + -1h

Divide each side by '1'.
d2 = 3g3 + 2g5 + -1h

Simplifying
d2 = 3g3 + 2g5 + -1h

Reorder the terms:
d2 + -3g3 + -2g5 + h = 3g3 + -3g3 + 2g5 + -2g5 + -1h + h

Combine like terms: 3g3 + -3g3 = 0
d2 + -3g3 + -2g5 + h = 0 + 2g5 + -2g5 + -1h + h
d2 + -3g3 + -2g5 + h = 2g5 + -2g5 + -1h + h

Combine like terms: 2g5 + -2g5 = 0
d2 + -3g3 + -2g5 + h = 0 + -1h + h
d2 + -3g3 + -2g5 + h = -1h + h

Combine like terms: -1h + h = 0
d2 + -3g3 + -2g5 + h = 0

The solution to this equation could not be determined.

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