0=425-10t+(t^2)

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Solution for 0=425-10t+(t^2) equation:


Simplifying
0 = 425 + -10t + (t2)
0 = 425 + -10t + t2

Solving
0 = 425 + -10t + t2

Solving for variable 't'.

Combine like terms: 0 + -425 = -425
-425 + 10t + -1t2 = 425 + -10t + t2 + -425 + 10t + -1t2

Reorder the terms:
-425 + 10t + -1t2 = 425 + -425 + -10t + 10t + t2 + -1t2

Combine like terms: 425 + -425 = 0
-425 + 10t + -1t2 = 0 + -10t + 10t + t2 + -1t2
-425 + 10t + -1t2 = -10t + 10t + t2 + -1t2

Combine like terms: -10t + 10t = 0
-425 + 10t + -1t2 = 0 + t2 + -1t2
-425 + 10t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
-425 + 10t + -1t2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
425 + -10t + t2 = 0

Move the constant term to the right:

Add '-425' to each side of the equation.
425 + -10t + -425 + t2 = 0 + -425

Reorder the terms:
425 + -425 + -10t + t2 = 0 + -425

Combine like terms: 425 + -425 = 0
0 + -10t + t2 = 0 + -425
-10t + t2 = 0 + -425

Combine like terms: 0 + -425 = -425
-10t + t2 = -425

The t term is -10t.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10t + 25 + t2 = -425 + 25

Reorder the terms:
25 + -10t + t2 = -425 + 25

Combine like terms: -425 + 25 = -400
25 + -10t + t2 = -400

Factor a perfect square on the left side:
(t + -5)(t + -5) = -400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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