x^2+2bx+a=1

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Solution for x^2+2bx+a=1 equation:


Simplifying
x2 + 2bx + a = 1

Reorder the terms:
a + 2bx + x2 = 1

Solving
a + 2bx + x2 = 1

Solving for variable 'a'.

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

Add '-2bx' to each side of the equation.
a + 2bx + -2bx + x2 = 1 + -2bx

Combine like terms: 2bx + -2bx = 0
a + 0 + x2 = 1 + -2bx
a + x2 = 1 + -2bx

Add '-1x2' to each side of the equation.
a + x2 + -1x2 = 1 + -2bx + -1x2

Combine like terms: x2 + -1x2 = 0
a + 0 = 1 + -2bx + -1x2
a = 1 + -2bx + -1x2

Simplifying
a = 1 + -2bx + -1x2

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