t^2+3t-270=0

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Solution for t^2+3t-270=0 equation: 


Simplifying
t2 + 3t + -270 = 0

Reorder the terms:
-270 + 3t + t2 = 0

Solving
-270 + 3t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-18 + -1t)(15 + -1t) = 0


Subproblem 1
Set the factor '(-18 + -1t)' equal to zero and attempt to solve:

Simplifying
-18 + -1t = 0

Solving
-18 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + -1t = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1t = 0 + 18
-1t = 0 + 18

Combine like terms: 0 + 18 = 18
-1t = 18

Divide each side by '-1'.
t = -18

Simplifying
t = -18

Subproblem 2
Set the factor '(15 + -1t)' equal to zero and attempt to solve:

Simplifying
15 + -1t = 0

Solving
15 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1t = 0 + -15
-1t = 0 + -15

Combine like terms: 0 + -15 = -15
-1t = -15

Divide each side by '-1'.
t = 15

Simplifying
t = 15
Solution
t = {-18, 15}

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