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Simplifying 4x2 + -1x4 = 25 Solving 4x2 + -1x4 = 25 Solving for variable 'x'. Reorder the terms: -25 + 4x2 + -1x4 = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + 4x2 + -1x4 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 25 + -4x2 + x4 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + -4x2 + -25 + x4 = 0 + -25 Reorder the terms: 25 + -25 + -4x2 + x4 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x2 + x4 = 0 + -25 -4x2 + x4 = 0 + -25 Combine like terms: 0 + -25 = -25 -4x2 + x4 = -25 The x term is -4x2. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x2 + 4 + x4 = -25 + 4 Reorder the terms: 4 + -4x2 + x4 = -25 + 4 Combine like terms: -25 + 4 = -21 4 + -4x2 + x4 = -21 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -21 Can't calculate square root of the right side. The solution to this equation could not be determined.
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