(5-t-t^2)(9t+t^2)=

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Solution for (5-t-t^2)(9t+t^2)= equation: 


Simplifying
(5 + -1t + -1t2)(9t + t2) = 0

Multiply (5 + -1t + -1t2) * (9t + t2)
(5(9t + t2) + -1t * (9t + t2) + -1t2 * (9t + t2)) = 0
((9t * 5 + t2 * 5) + -1t * (9t + t2) + -1t2 * (9t + t2)) = 0
((45t + 5t2) + -1t * (9t + t2) + -1t2 * (9t + t2)) = 0
(45t + 5t2 + (9t * -1t + t2 * -1t) + -1t2 * (9t + t2)) = 0
(45t + 5t2 + (-9t2 + -1t3) + -1t2 * (9t + t2)) = 0
(45t + 5t2 + -9t2 + -1t3 + (9t * -1t2 + t2 * -1t2)) = 0
(45t + 5t2 + -9t2 + -1t3 + (-9t3 + -1t4)) = 0

Combine like terms: 5t2 + -9t2 = -4t2
(45t + -4t2 + -1t3 + -9t3 + -1t4) = 0

Combine like terms: -1t3 + -9t3 = -10t3
(45t + -4t2 + -10t3 + -1t4) = 0

Solving
45t + -4t2 + -10t3 + -1t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(45 + -4t + -10t2 + -1t3) = 0


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 '(45 + -4t + -10t2 + -1t3)' equal to zero and attempt to solve:

Simplifying
45 + -4t + -10t2 + -1t3 = 0

Solving
45 + -4t + -10t2 + -1t3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}

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