43.75=-16t^2+28t+7

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Solution for 43.75=-16t^2+28t+7 equation: 


Simplifying
43.75 = -16t2 + 28t + 7

Reorder the terms:
43.75 = 7 + 28t + -16t2

Solving
43.75 = 7 + 28t + -16t2

Solving for variable 't'.

Combine like terms: 43.75 + -7 = 36.75
36.75 + -28t + 16t2 = 7 + 28t + -16t2 + -7 + -28t + 16t2

Reorder the terms:
36.75 + -28t + 16t2 = 7 + -7 + 28t + -28t + -16t2 + 16t2

Combine like terms: 7 + -7 = 0
36.75 + -28t + 16t2 = 0 + 28t + -28t + -16t2 + 16t2
36.75 + -28t + 16t2 = 28t + -28t + -16t2 + 16t2

Combine like terms: 28t + -28t = 0
36.75 + -28t + 16t2 = 0 + -16t2 + 16t2
36.75 + -28t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
36.75 + -28t + 16t2 = 0

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

Divide each side by '16'.
2.296875 + -1.75t + t2 = 0

Move the constant term to the right:

Add '-2.296875' to each side of the equation.
2.296875 + -1.75t + -2.296875 + t2 = 0 + -2.296875

Reorder the terms:
2.296875 + -2.296875 + -1.75t + t2 = 0 + -2.296875

Combine like terms: 2.296875 + -2.296875 = 0.000000
0.000000 + -1.75t + t2 = 0 + -2.296875
-1.75t + t2 = 0 + -2.296875

Combine like terms: 0 + -2.296875 = -2.296875
-1.75t + t2 = -2.296875

The t term is -1.75t.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75t + 0.765625 + t2 = -2.296875 + 0.765625

Reorder the terms:
0.765625 + -1.75t + t2 = -2.296875 + 0.765625

Combine like terms: -2.296875 + 0.765625 = -1.53125
0.765625 + -1.75t + t2 = -1.53125

Factor a perfect square on the left side:
(t + -0.875)(t + -0.875) = -1.53125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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