S^2-2s+1-6d^2=0

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Solution for S^2-2s+1-6d^2=0 equation:


Simplifying
S2 + -2s + 1 + -6d2 = 0

Reorder the terms:
1 + S2 + -6d2 + -2s = 0

Solving
1 + S2 + -6d2 + -2s = 0

Solving for variable 'S'.

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

Add '-1' to each side of the equation.
1 + S2 + -6d2 + -1 + -2s = 0 + -1

Reorder the terms:
1 + -1 + S2 + -6d2 + -2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + S2 + -6d2 + -2s = 0 + -1
S2 + -6d2 + -2s = 0 + -1

Combine like terms: 0 + -1 = -1
S2 + -6d2 + -2s = -1

Add '6d2' to each side of the equation.
S2 + -6d2 + 6d2 + -2s = -1 + 6d2

Combine like terms: -6d2 + 6d2 = 0
S2 + 0 + -2s = -1 + 6d2
S2 + -2s = -1 + 6d2

Add '2s' to each side of the equation.
S2 + -2s + 2s = -1 + 6d2 + 2s

Combine like terms: -2s + 2s = 0
S2 + 0 = -1 + 6d2 + 2s
S2 = -1 + 6d2 + 2s

Simplifying
S2 = -1 + 6d2 + 2s

Reorder the terms:
1 + S2 + -6d2 + -2s = -1 + 6d2 + 2s + 1 + -6d2 + -2s

Reorder the terms:
1 + S2 + -6d2 + -2s = -1 + 1 + 6d2 + -6d2 + 2s + -2s

Combine like terms: -1 + 1 = 0
1 + S2 + -6d2 + -2s = 0 + 6d2 + -6d2 + 2s + -2s
1 + S2 + -6d2 + -2s = 6d2 + -6d2 + 2s + -2s

Combine like terms: 6d2 + -6d2 = 0
1 + S2 + -6d2 + -2s = 0 + 2s + -2s
1 + S2 + -6d2 + -2s = 2s + -2s

Combine like terms: 2s + -2s = 0
1 + S2 + -6d2 + -2s = 0

The solution to this equation could not be determined.

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