0=-4t^2+16t

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Solution for 0=-4t^2+16t equation:


Simplifying
0 = -4t2 + 16t

Reorder the terms:
0 = 16t + -4t2

Solving
0 = 16t + -4t2

Solving for variable 't'.
Remove the zero:
-16t + 4t2 = 16t + -4t2 + -16t + 4t2

Reorder the terms:
-16t + 4t2 = 16t + -16t + -4t2 + 4t2

Combine like terms: 16t + -16t = 0
-16t + 4t2 = 0 + -4t2 + 4t2
-16t + 4t2 = -4t2 + 4t2

Combine like terms: -4t2 + 4t2 = 0
-16t + 4t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-4 + t) = 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Simplifying t = 4

Solution

t = {0, 4}

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