0=-16t^2+29t+0

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Solution for 0=-16t^2+29t+0 equation:


Simplifying
0 = -16t2 + 29t + 0

Reorder the terms:
0 = 0 + 29t + -16t2
Remove the zero:
0 = 29t + -16t2

Solving
0 = 29t + -16t2

Solving for variable 't'.
Remove the zero:
-29t + 16t2 = 29t + -16t2 + -29t + 16t2

Reorder the terms:
-29t + 16t2 = 29t + -29t + -16t2 + 16t2

Combine like terms: 29t + -29t = 0
-29t + 16t2 = 0 + -16t2 + 16t2
-29t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-29t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-29 + 16t) = 0

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 '(-29 + 16t)' equal to zero and attempt to solve: Simplifying -29 + 16t = 0 Solving -29 + 16t = 0 Move all terms containing t to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 16t = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 16t = 0 + 29 16t = 0 + 29 Combine like terms: 0 + 29 = 29 16t = 29 Divide each side by '16'. t = 1.8125 Simplifying t = 1.8125

Solution

t = {0, 1.8125}

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