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Simplifying 2x2 + tx + t2 = 0 Reorder the terms: tx + t2 + 2x2 = 0 Solving tx + t2 + 2x2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-2x2' to each side of the equation. tx + t2 + 2x2 + -2x2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 tx + t2 + 0 = 0 + -2x2 tx + t2 = 0 + -2x2 Remove the zero: tx + t2 = -2x2 The t term is tx. Take half its coefficient (0.5x). Square it (0.25x2) and add it to both sides. Add '0.25x2' to each side of the equation. tx + t2 + 0.25x2 = -2x2 + 0.25x2 Combine like terms: -2x2 + 0.25x2 = -1.75x2 tx + t2 + 0.25x2 = -1.75x2 Factor a perfect square on the left side: (t + 0.5x)(t + 0.5x) = -1.75x2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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