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Simplifying t2 + 9tz + 18z2 = 0 Reorder the terms: 9tz + t2 + 18z2 = 0 Solving 9tz + t2 + 18z2 = 0 Solving for variable 't'. Factor a trinomial. (t + 3z)(t + 6z) = 0Subproblem 1
Set the factor '(t + 3z)' equal to zero and attempt to solve: Simplifying t + 3z = 0 Solving t + 3z = 0 Move all terms containing t to the left, all other terms to the right. Add '-3z' to each side of the equation. t + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 t + 0 = 0 + -3z t = 0 + -3z Remove the zero: t = -3z Simplifying t = -3zSubproblem 2
Set the factor '(t + 6z)' equal to zero and attempt to solve: Simplifying t + 6z = 0 Solving t + 6z = 0 Move all terms containing t to the left, all other terms to the right. Add '-6z' to each side of the equation. t + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 t + 0 = 0 + -6z t = 0 + -6z Remove the zero: t = -6z Simplifying t = -6zSolution
t = {-3z, -6z}
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