25=-16t^2+35t+5

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Solution for 25=-16t^2+35t+5 equation:


Simplifying
25 = -16t2 + 35t + 5

Reorder the terms:
25 = 5 + 35t + -16t2

Solving
25 = 5 + 35t + -16t2

Solving for variable 't'.

Combine like terms: 25 + -5 = 20
20 + -35t + 16t2 = 5 + 35t + -16t2 + -5 + -35t + 16t2

Reorder the terms:
20 + -35t + 16t2 = 5 + -5 + 35t + -35t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
20 + -35t + 16t2 = 0 + 35t + -35t + -16t2 + 16t2
20 + -35t + 16t2 = 35t + -35t + -16t2 + 16t2

Combine like terms: 35t + -35t = 0
20 + -35t + 16t2 = 0 + -16t2 + 16t2
20 + -35t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
20 + -35t + 16t2 = 0

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

Divide each side by '16'.
1.25 + -2.1875t + t2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -2.1875t + -1.25 + t2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -2.1875t + t2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -2.1875t + t2 = 0 + -1.25
-2.1875t + t2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-2.1875t + t2 = -1.25

The t term is -2.1875t.  Take half its coefficient (-1.09375).
Square it (1.196289063) and add it to both sides.

Add '1.196289063' to each side of the equation.
-2.1875t + 1.196289063 + t2 = -1.25 + 1.196289063

Reorder the terms:
1.196289063 + -2.1875t + t2 = -1.25 + 1.196289063

Combine like terms: -1.25 + 1.196289063 = -0.053710937
1.196289063 + -2.1875t + t2 = -0.053710937

Factor a perfect square on the left side:
(t + -1.09375)(t + -1.09375) = -0.053710937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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