28t-16t^2=20

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Solution for 28t-16t^2=20 equation: 


Simplifying
28t + -16t2 = 20

Solving
28t + -16t2 = 20

Solving for variable 't'.

Reorder the terms:
-20 + 28t + -16t2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 28t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 7t + -4t2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + 7t + -4t2)' equal to zero and attempt to solve:

Simplifying
-5 + 7t + -4t2 = 0

Solving
-5 + 7t + -4t2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -1.75t + t2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.75t + -1.25 + t2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.75t + t2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.75t + t2 = 0 + -1.25
-1.75t + t2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.75t + t2 = -1.25

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 = -1.25 + 0.765625

Reorder the terms:
0.765625 + -1.75t + t2 = -1.25 + 0.765625

Combine like terms: -1.25 + 0.765625 = -0.484375
0.765625 + -1.75t + t2 = -0.484375

Factor a perfect square on the left side:
(t + -0.875)(t + -0.875) = -0.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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