-16t^2+8t+t=0

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Solution for -16t^2+8t+t=0 equation:


Simplifying
-16t2 + 8t + t = 0

Reorder the terms:
8t + t + -16t2 = 0

Combine like terms: 8t + t = 9t
9t + -16t2 = 0

Solving
9t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(9 + -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 '(9 + -16t)' equal to zero and attempt to solve: Simplifying 9 + -16t = 0 Solving 9 + -16t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -16t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16t = 0 + -9 -16t = 0 + -9 Combine like terms: 0 + -9 = -9 -16t = -9 Divide each side by '-16'. t = 0.5625 Simplifying t = 0.5625

Solution

t = {0, 0.5625}

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