t^2-16t=-76

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Solution for t^2-16t=-76 equation:


Simplifying
t2 + -16t = -76

Reorder the terms:
-16t + t2 = -76

Solving
-16t + t2 = -76

Solving for variable 't'.

Reorder the terms:
76 + -16t + t2 = -76 + 76

Combine like terms: -76 + 76 = 0
76 + -16t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-76' to each side of the equation.
76 + -16t + -76 + t2 = 0 + -76

Reorder the terms:
76 + -76 + -16t + t2 = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -16t + t2 = 0 + -76
-16t + t2 = 0 + -76

Combine like terms: 0 + -76 = -76
-16t + t2 = -76

The t term is -16t.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16t + 64 + t2 = -76 + 64

Reorder the terms:
64 + -16t + t2 = -76 + 64

Combine like terms: -76 + 64 = -12
64 + -16t + t2 = -12

Factor a perfect square on the left side:
(t + -8)(t + -8) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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