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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