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Simplifying x2 + 2bx + b2 + -1a + 1 = 0 Reorder the terms: 1 + -1a + 2bx + b2 + x2 = 0 Solving 1 + -1a + 2bx + b2 + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1a + 2bx + b2 + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1a + 2bx + b2 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1a + 2bx + b2 + x2 = 0 + -1 -1a + 2bx + b2 + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1a + 2bx + b2 + x2 = -1 Add '-2bx' to each side of the equation. -1a + 2bx + b2 + -2bx + x2 = -1 + -2bx Reorder the terms: -1a + 2bx + -2bx + b2 + x2 = -1 + -2bx Combine like terms: 2bx + -2bx = 0 -1a + 0 + b2 + x2 = -1 + -2bx -1a + b2 + x2 = -1 + -2bx Add '-1b2' to each side of the equation. -1a + b2 + -1b2 + x2 = -1 + -2bx + -1b2 Combine like terms: b2 + -1b2 = 0 -1a + 0 + x2 = -1 + -2bx + -1b2 -1a + x2 = -1 + -2bx + -1b2 Add '-1x2' to each side of the equation. -1a + x2 + -1x2 = -1 + -2bx + -1b2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1a + 0 = -1 + -2bx + -1b2 + -1x2 -1a = -1 + -2bx + -1b2 + -1x2 Divide each side by '-1'. a = 1 + 2bx + b2 + x2 Simplifying a = 1 + 2bx + b2 + x2
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