-16t^2+12t-1.76=0

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Solution for -16t^2+12t-1.76=0 equation: 


Simplifying
-16t2 + 12t + -1.76 = 0

Reorder the terms:
-1.76 + 12t + -16t2 = 0

Solving
-1.76 + 12t + -16t2 = 0

Solving for variable 't'.

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

Divide each side by '-16'.
0.11 + -0.75t + t2 = 0

Move the constant term to the right:

Add '-0.11' to each side of the equation.
0.11 + -0.75t + -0.11 + t2 = 0 + -0.11

Reorder the terms:
0.11 + -0.11 + -0.75t + t2 = 0 + -0.11

Combine like terms: 0.11 + -0.11 = 0.00
0.00 + -0.75t + t2 = 0 + -0.11
-0.75t + t2 = 0 + -0.11

Combine like terms: 0 + -0.11 = -0.11
-0.75t + t2 = -0.11

The t term is -0.75t.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75t + 0.140625 + t2 = -0.11 + 0.140625

Reorder the terms:
0.140625 + -0.75t + t2 = -0.11 + 0.140625

Combine like terms: -0.11 + 0.140625 = 0.030625
0.140625 + -0.75t + t2 = 0.030625

Factor a perfect square on the left side:
(t + -0.375)(t + -0.375) = 0.030625

Calculate the square root of the right side: 0.175

Break this problem into two subproblems by setting 
(t + -0.375) equal to 0.175 and -0.175.


Subproblem 1
t + -0.375 = 0.175

Simplifying
t + -0.375 = 0.175

Reorder the terms:
-0.375 + t = 0.175

Solving
-0.375 + t = 0.175

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '0.375' to each side of the equation.
-0.375 + 0.375 + t = 0.175 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + t = 0.175 + 0.375
t = 0.175 + 0.375

Combine like terms: 0.175 + 0.375 = 0.55
t = 0.55

Simplifying
t = 0.55


Subproblem 2
t + -0.375 = -0.175

Simplifying
t + -0.375 = -0.175

Reorder the terms:
-0.375 + t = -0.175

Solving
-0.375 + t = -0.175

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '0.375' to each side of the equation.
-0.375 + 0.375 + t = -0.175 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.000 + t = -0.175 + 0.375
t = -0.175 + 0.375

Combine like terms: -0.175 + 0.375 = 0.2
t = 0.2

Simplifying
t = 0.2


Solution
The solution to the problem is based on the solutions
from the subproblems.
t = {0.55, 0.2}

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