t^2-15t+64=0

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Solution for t^2-15t+64=0 equation:


Simplifying
t2 + -15t + 64 = 0

Reorder the terms:
64 + -15t + t2 = 0

Solving
64 + -15t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + -15t + -64 + t2 = 0 + -64

Reorder the terms:
64 + -64 + -15t + t2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -15t + t2 = 0 + -64
-15t + t2 = 0 + -64

Combine like terms: 0 + -64 = -64
-15t + t2 = -64

The t term is -15t.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15t + 56.25 + t2 = -64 + 56.25

Reorder the terms:
56.25 + -15t + t2 = -64 + 56.25

Combine like terms: -64 + 56.25 = -7.75
56.25 + -15t + t2 = -7.75

Factor a perfect square on the left side:
(t + -7.5)(t + -7.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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