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Simplifying (y2) + ty + (t2) = 0 y2 + ty + (t2) = 0 y2 + ty + t2 = 0 Reorder the terms: ty + t2 + y2 = 0 Solving ty + t2 + y2 = 0 Solving for variable 't'. Begin completing the square. Move the constant term to the right: Add '-1y2' to each side of the equation. ty + t2 + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 ty + t2 + 0 = 0 + -1y2 ty + t2 = 0 + -1y2 Remove the zero: ty + t2 = -1y2 The t term is ty. Take half its coefficient (0.5y). Square it (0.25y2) and add it to both sides. Add '0.25y2' to each side of the equation. ty + t2 + 0.25y2 = -1y2 + 0.25y2 Combine like terms: -1y2 + 0.25y2 = -0.75y2 ty + t2 + 0.25y2 = -0.75y2 Factor a perfect square on the left side: (t + 0.5y)(t + 0.5y) = -0.75y2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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