10=6t-t^2

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Solution for 10=6t-t^2 equation:


Simplifying
10 = 6t + -1t2

Solving
10 = 6t + -1t2

Solving for variable 't'.

Reorder the terms:
10 + -6t + t2 = 6t + -6t + -1t2 + t2

Combine like terms: 6t + -6t = 0
10 + -6t + t2 = 0 + -1t2 + t2
10 + -6t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
10 + -6t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6t + -10 + t2 = 0 + -10

Reorder the terms:
10 + -10 + -6t + t2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6t + t2 = 0 + -10
-6t + t2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6t + t2 = -10

The t term is -6t.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6t + 9 + t2 = -10 + 9

Reorder the terms:
9 + -6t + t2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6t + t2 = -1

Factor a perfect square on the left side:
(t + -3)(t + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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