28=28+12t-16t^2

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Solution for 28=28+12t-16t^2 equation:


Simplifying
28 = 28 + 12t + -16t2

Add '-28' to each side of the equation.
28 + -28 = 28 + 12t + -28 + -16t2

Combine like terms: 28 + -28 = 0
0 = 28 + 12t + -28 + -16t2

Reorder the terms:
0 = 28 + -28 + 12t + -16t2

Combine like terms: 28 + -28 = 0
0 = 0 + 12t + -16t2
0 = 12t + -16t2

Solving
0 = 12t + -16t2

Solving for variable 't'.
Remove the zero:
-12t + 16t2 = 12t + -16t2 + -12t + 16t2

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

Combine like terms: 12t + -12t = 0
-12t + 16t2 = 0 + -16t2 + 16t2
-12t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-12t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-3 + 4t) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(-3 + 4t)' equal to zero and attempt to solve: Simplifying -3 + 4t = 0 Solving -3 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4t = 0 + 3 4t = 0 + 3 Combine like terms: 0 + 3 = 3 4t = 3 Divide each side by '4'. t = 0.75 Simplifying t = 0.75

Solution

t = {0, 0.75}

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