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Simplifying x2 + 2x + 1 + -4a2 = 0 Reorder the terms: 1 + -4a2 + 2x + x2 = 0 Solving 1 + -4a2 + 2x + 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 + -4a2 + 2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -4a2 + 2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4a2 + 2x + x2 = 0 + -1 -4a2 + 2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4a2 + 2x + x2 = -1 Add '-2x' to each side of the equation. -4a2 + 2x + -2x + x2 = -1 + -2x Combine like terms: 2x + -2x = 0 -4a2 + 0 + x2 = -1 + -2x -4a2 + x2 = -1 + -2x Add '-1x2' to each side of the equation. -4a2 + x2 + -1x2 = -1 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 -4a2 + 0 = -1 + -2x + -1x2 -4a2 = -1 + -2x + -1x2 Divide each side by '-4'. a2 = 0.25 + 0.5x + 0.25x2 Simplifying a2 = 0.25 + 0.5x + 0.25x2 Reorder the terms: -0.25 + a2 + -0.5x + -0.25x2 = 0.25 + 0.5x + 0.25x2 + -0.25 + -0.5x + -0.25x2 Reorder the terms: -0.25 + a2 + -0.5x + -0.25x2 = 0.25 + -0.25 + 0.5x + -0.5x + 0.25x2 + -0.25x2 Combine like terms: 0.25 + -0.25 = 0.00 -0.25 + a2 + -0.5x + -0.25x2 = 0.00 + 0.5x + -0.5x + 0.25x2 + -0.25x2 -0.25 + a2 + -0.5x + -0.25x2 = 0.5x + -0.5x + 0.25x2 + -0.25x2 Combine like terms: 0.5x + -0.5x = 0.0 -0.25 + a2 + -0.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2 -0.25 + a2 + -0.5x + -0.25x2 = 0.25x2 + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 -0.25 + a2 + -0.5x + -0.25x2 = 0.00 The solution to this equation could not be determined.
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