16t^2+16t+128=32

Solution for 16t^2+16t+128=32 equation:

Simplifying
16t2 + 16t + 128 = 32

Reorder the terms:
128 + 16t + 16t2 = 32

Solving
128 + 16t + 16t2 = 32

Solving for variable 't'.

Reorder the terms:
128 + -32 + 16t + 16t2 = 32 + -32

Combine like terms: 128 + -32 = 96
96 + 16t + 16t2 = 32 + -32

Combine like terms: 32 + -32 = 0
96 + 16t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(6 + t + t2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(6 + t + t2)' equal to zero and attempt to solve:

Simplifying
6 + t + t2 = 0

Solving
6 + t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + t + t2 = 0 + -6
t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
t + t2 = -6

The t term is t.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
t + 0.25 + t2 = -6 + 0.25

Reorder the terms:
0.25 + t + t2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + t + t2 = -5.75

Factor a perfect square on the left side:
(t + 0.5)(t + 0.5) = -5.75

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.