0=-16t^2+50t

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Solution for 0=-16t^2+50t equation:


Simplifying
0 = -16t2 + 50t

Reorder the terms:
0 = 50t + -16t2

Solving
0 = 50t + -16t2

Solving for variable 't'.
Remove the zero:
-50t + 16t2 = 50t + -16t2 + -50t + 16t2

Reorder the terms:
-50t + 16t2 = 50t + -50t + -16t2 + 16t2

Combine like terms: 50t + -50t = 0
-50t + 16t2 = 0 + -16t2 + 16t2
-50t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-50t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-25 + 8t) = 0

Ignore the factor 2.

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 '(-25 + 8t)' equal to zero and attempt to solve: Simplifying -25 + 8t = 0 Solving -25 + 8t = 0 Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 8t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 8t = 0 + 25 8t = 0 + 25 Combine like terms: 0 + 25 = 25 8t = 25 Divide each side by '8'. t = 3.125 Simplifying t = 3.125

Solution

t = {0, 3.125}

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