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Simplifying 4x2 + 4bx + -1(a2 + -1b2) = 0 4x2 + 4bx + (a2 * -1 + -1b2 * -1) = 0 4x2 + 4bx + (-1a2 + 1b2) = 0 Reorder the terms: -1a2 + 4bx + 1b2 + 4x2 = 0 Solving -1a2 + 4bx + 1b2 + 4x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4bx' to each side of the equation. -1a2 + 4bx + 1b2 + -4bx + 4x2 = 0 + -4bx Reorder the terms: -1a2 + 4bx + -4bx + 1b2 + 4x2 = 0 + -4bx Combine like terms: 4bx + -4bx = 0 -1a2 + 0 + 1b2 + 4x2 = 0 + -4bx -1a2 + 1b2 + 4x2 = 0 + -4bx Remove the zero: -1a2 + 1b2 + 4x2 = -4bx Add '-1b2' to each side of the equation. -1a2 + 1b2 + -1b2 + 4x2 = -4bx + -1b2 Combine like terms: 1b2 + -1b2 = 0 -1a2 + 0 + 4x2 = -4bx + -1b2 -1a2 + 4x2 = -4bx + -1b2 Add '-4x2' to each side of the equation. -1a2 + 4x2 + -4x2 = -4bx + -1b2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1a2 + 0 = -4bx + -1b2 + -4x2 -1a2 = -4bx + -1b2 + -4x2 Divide each side by '-1'. a2 = 4bx + b2 + 4x2 Simplifying a2 = 4bx + b2 + 4x2 Reorder the terms: a2 + -4bx + -1b2 + -4x2 = 4bx + -4bx + b2 + -1b2 + 4x2 + -4x2 Combine like terms: 4bx + -4bx = 0 a2 + -4bx + -1b2 + -4x2 = 0 + b2 + -1b2 + 4x2 + -4x2 a2 + -4bx + -1b2 + -4x2 = b2 + -1b2 + 4x2 + -4x2 Combine like terms: b2 + -1b2 = 0 a2 + -4bx + -1b2 + -4x2 = 0 + 4x2 + -4x2 a2 + -4bx + -1b2 + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 a2 + -4bx + -1b2 + -4x2 = 0 The solution to this equation could not be determined.
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