7x^2-2b^2-1=0

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Solution for 7x^2-2b^2-1=0 equation:


Simplifying
7x2 + -2b2 + -1 = 0

Reorder the terms:
-1 + -2b2 + 7x2 = 0

Solving
-1 + -2b2 + 7x2 = 0

Solving for variable 'b'.

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

Add '1' to each side of the equation.
-1 + -2b2 + 1 + 7x2 = 0 + 1

Reorder the terms:
-1 + 1 + -2b2 + 7x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b2 + 7x2 = 0 + 1
-2b2 + 7x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2b2 + 7x2 = 1

Add '-7x2' to each side of the equation.
-2b2 + 7x2 + -7x2 = 1 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-2b2 + 0 = 1 + -7x2
-2b2 = 1 + -7x2

Divide each side by '-2'.
b2 = -0.5 + 3.5x2

Simplifying
b2 = -0.5 + 3.5x2

Reorder the terms:
0.5 + b2 + -3.5x2 = -0.5 + 3.5x2 + 0.5 + -3.5x2

Reorder the terms:
0.5 + b2 + -3.5x2 = -0.5 + 0.5 + 3.5x2 + -3.5x2

Combine like terms: -0.5 + 0.5 = 0.0
0.5 + b2 + -3.5x2 = 0.0 + 3.5x2 + -3.5x2
0.5 + b2 + -3.5x2 = 3.5x2 + -3.5x2

Combine like terms: 3.5x2 + -3.5x2 = 0.0
0.5 + b2 + -3.5x2 = 0.0

The solution to this equation could not be determined.

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