t^2-12t+90=0000

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Solution for t^2-12t+90=0000 equation:


Simplifying
t2 + -12t + 90 = 0

Reorder the terms:
90 + -12t + t2 = 0

Solving
90 + -12t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-90' to each side of the equation.
90 + -12t + -90 + t2 = 0 + -90

Reorder the terms:
90 + -90 + -12t + t2 = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -12t + t2 = 0 + -90
-12t + t2 = 0 + -90

Combine like terms: 0 + -90 = -90
-12t + t2 = -90

The t term is -12t.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12t + 36 + t2 = -90 + 36

Reorder the terms:
36 + -12t + t2 = -90 + 36

Combine like terms: -90 + 36 = -54
36 + -12t + t2 = -54

Factor a perfect square on the left side:
(t + -6)(t + -6) = -54

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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