9t^2+6t+3tu=0

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Solution for 9t^2+6t+3tu=0 equation:


Simplifying
9t2 + 6t + 3tu = 0

Reorder the terms:
6t + 3tu + 9t2 = 0

Solving
6t + 3tu + 9t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(2 + u + 3t) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(2 + u + 3t)' equal to zero and attempt to solve: Simplifying 2 + u + 3t = 0 Reorder the terms: 2 + 3t + u = 0 Solving 2 + 3t + u = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3t + -2 + u = 0 + -2 Reorder the terms: 2 + -2 + 3t + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3t + u = 0 + -2 3t + u = 0 + -2 Combine like terms: 0 + -2 = -2 3t + u = -2 Add '-1u' to each side of the equation. 3t + u + -1u = -2 + -1u Combine like terms: u + -1u = 0 3t + 0 = -2 + -1u 3t = -2 + -1u Divide each side by '3'. t = -0.6666666667 + -0.3333333333u Simplifying t = -0.6666666667 + -0.3333333333u

Solution

t = {0, -0.6666666667 + -0.3333333333u}

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