t^2+36=-12t

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Solution for t^2+36=-12t equation:


Simplifying
t2 + 36 = -12t

Reorder the terms:
36 + t2 = -12t

Solving
36 + t2 = -12t

Solving for variable 't'.

Reorder the terms:
36 + 12t + t2 = -12t + 12t

Combine like terms: -12t + 12t = 0
36 + 12t + t2 = 0

Factor a trinomial.
(6 + t)(6 + t) = 0

Subproblem 1

Set the factor '(6 + t)' equal to zero and attempt to solve: Simplifying 6 + t = 0 Solving 6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t = 0 + -6 t = 0 + -6 Combine like terms: 0 + -6 = -6 t = -6 Simplifying t = -6

Subproblem 2

Set the factor '(6 + t)' equal to zero and attempt to solve: Simplifying 6 + t = 0 Solving 6 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + t = 0 + -6 t = 0 + -6 Combine like terms: 0 + -6 = -6 t = -6 Simplifying t = -6

Solution

t = {-6, -6}

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