t^2-14t+58=0

Solution for t^2-14t+58=0 equation:

Simplifying
t2 + -14t + 58 = 0

Reorder the terms:
58 + -14t + t2 = 0

Solving
58 + -14t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-58' to each side of the equation.
58 + -14t + -58 + t2 = 0 + -58

Reorder the terms:
58 + -58 + -14t + t2 = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -14t + t2 = 0 + -58
-14t + t2 = 0 + -58

Combine like terms: 0 + -58 = -58
-14t + t2 = -58

The t term is -14t.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14t + 49 + t2 = -58 + 49

Reorder the terms:
49 + -14t + t2 = -58 + 49

Combine like terms: -58 + 49 = -9
49 + -14t + t2 = -9

Factor a perfect square on the left side:
(t + -7)(t + -7) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.