t^2-12t+36=4

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Solution for t^2-12t+36=4 equation:


Simplifying
t2 + -12t + 36 = 4

Reorder the terms:
36 + -12t + t2 = 4

Solving
36 + -12t + t2 = 4

Solving for variable 't'.

Reorder the terms:
36 + -4 + -12t + t2 = 4 + -4

Combine like terms: 36 + -4 = 32
32 + -12t + t2 = 4 + -4

Combine like terms: 4 + -4 = 0
32 + -12t + t2 = 0

Factor a trinomial.
(4 + -1t)(8 + -1t) = 0


Subproblem 1
Set the factor '(4 + -1t)' equal to zero and attempt to solve:

Simplifying
4 + -1t = 0

Solving
4 + -1t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1t = 0 + -4
-1t = 0 + -4

Combine like terms: 0 + -4 = -4
-1t = -4

Divide each side by '-1'.
t = 4

Simplifying
t = 4

Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 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 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {4, 8}

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