t^2+18t+80=

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Solution for t^2+18t+80= equation:


Simplifying
t2 + 18t + 80 = 0

Reorder the terms:
80 + 18t + t2 = 0

Solving
80 + 18t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(10 + t)(8 + t) = 0

Subproblem 1

Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10

Subproblem 2

Set the factor '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8

Solution

t = {-10, -8}

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