135=-16t^2+32t+128

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Solution for 135=-16t^2+32t+128 equation: 


Simplifying
135 = -16t2 + 32t + 128

Reorder the terms:
135 = 128 + 32t + -16t2

Solving
135 = 128 + 32t + -16t2

Solving for variable 't'.

Combine like terms: 135 + -128 = 7
7 + -32t + 16t2 = 128 + 32t + -16t2 + -128 + -32t + 16t2

Reorder the terms:
7 + -32t + 16t2 = 128 + -128 + 32t + -32t + -16t2 + 16t2

Combine like terms: 128 + -128 = 0
7 + -32t + 16t2 = 0 + 32t + -32t + -16t2 + 16t2
7 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
7 + -32t + 16t2 = 0 + -16t2 + 16t2
7 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
7 + -32t + 16t2 = 0

Factor a trinomial.
(1 + -4t)(7 + -4t) = 0


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

Simplifying
1 + -4t = 0

Solving
1 + -4t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 0 + -1
-4t = 0 + -1

Combine like terms: 0 + -1 = -1
-4t = -1

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25

Subproblem 2
Set the factor '(7 + -4t)' equal to zero and attempt to solve:

Simplifying
7 + -4t = 0

Solving
7 + -4t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4t = 0 + -7
-4t = 0 + -7

Combine like terms: 0 + -7 = -7
-4t = -7

Divide each side by '-4'.
t = 1.75

Simplifying
t = 1.75
Solution
t = {0.25, 1.75}

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