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Simplifying t2 + 2ty + y2 = 0 Reorder the terms: 2ty + t2 + y2 = 0 Solving 2ty + t2 + y2 = 0 Solving for variable 't'. Factor a trinomial. (t + y)(t + y) = 0Subproblem 1
Set the factor '(t + y)' equal to zero and attempt to solve: Simplifying t + y = 0 Solving t + y = 0 Move all terms containing t to the left, all other terms to the right. Add '-1y' to each side of the equation. t + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 t + 0 = 0 + -1y t = 0 + -1y Remove the zero: t = -1y Simplifying t = -1ySubproblem 2
Set the factor '(t + y)' equal to zero and attempt to solve: Simplifying t + y = 0 Solving t + y = 0 Move all terms containing t to the left, all other terms to the right. Add '-1y' to each side of the equation. t + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 t + 0 = 0 + -1y t = 0 + -1y Remove the zero: t = -1y Simplifying t = -1ySolution
t = {-1y, -1y}
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