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Simplifying 9y3 + 6y2t + yt2 = 0 Reorder the terms: 6ty2 + t2y + 9y3 = 0 Solving 6ty2 + t2y + 9y3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 'y'. y(6ty + t2 + 9y2) = 0 Factor a trinomial. y((t + 3y)(t + 3y)) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing t to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(t + 3y)' equal to zero and attempt to solve: Simplifying t + 3y = 0 Solving t + 3y = 0 Move all terms containing t to the left, all other terms to the right. Add '-3y' to each side of the equation. t + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 t + 0 = 0 + -3y t = 0 + -3y Remove the zero: t = -3y Simplifying t = -3ySubproblem 3
Set the factor '(t + 3y)' equal to zero and attempt to solve: Simplifying t + 3y = 0 Solving t + 3y = 0 Move all terms containing t to the left, all other terms to the right. Add '-3y' to each side of the equation. t + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 t + 0 = 0 + -3y t = 0 + -3y Remove the zero: t = -3y Simplifying t = -3ySolution
t = {-3y, -3y}
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