35=7+35t-16t^2

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Solution for 35=7+35t-16t^2 equation:


Simplifying
35 = 7 + 35t + -16t2

Solving
35 = 7 + 35t + -16t2

Solving for variable 't'.

Combine like terms: 35 + -7 = 28
28 + -35t + 16t2 = 7 + 35t + -16t2 + -7 + -35t + 16t2

Reorder the terms:
28 + -35t + 16t2 = 7 + -7 + 35t + -35t + -16t2 + 16t2

Combine like terms: 7 + -7 = 0
28 + -35t + 16t2 = 0 + 35t + -35t + -16t2 + 16t2
28 + -35t + 16t2 = 35t + -35t + -16t2 + 16t2

Combine like terms: 35t + -35t = 0
28 + -35t + 16t2 = 0 + -16t2 + 16t2
28 + -35t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
28 + -35t + 16t2 = 0

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

Divide each side by '16'.
1.75 + -2.1875t + t2 = 0

Move the constant term to the right:

Add '-1.75' to each side of the equation.
1.75 + -2.1875t + -1.75 + t2 = 0 + -1.75

Reorder the terms:
1.75 + -1.75 + -2.1875t + t2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + -2.1875t + t2 = 0 + -1.75
-2.1875t + t2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
-2.1875t + t2 = -1.75

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 = -1.75 + 1.196289063

Reorder the terms:
1.196289063 + -2.1875t + t2 = -1.75 + 1.196289063

Combine like terms: -1.75 + 1.196289063 = -0.553710937
1.196289063 + -2.1875t + t2 = -0.553710937

Factor a perfect square on the left side:
(t + -1.09375)(t + -1.09375) = -0.553710937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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