16t^2+92t=0

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Solution for 16t^2+92t=0 equation:


Simplifying
16t2 + 92t = 0

Reorder the terms:
92t + 16t2 = 0

Solving
92t + 16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(23 + 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 '(23 + 4t)' equal to zero and attempt to solve: Simplifying 23 + 4t = 0 Solving 23 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4t = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4t = 0 + -23 4t = 0 + -23 Combine like terms: 0 + -23 = -23 4t = -23 Divide each side by '4'. t = -5.75 Simplifying t = -5.75

Solution

t = {0, -5.75}

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