290t=16t^2

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Solution for 290t=16t^2 equation:


Simplifying
290t = 16t2

Solving
290t = 16t2

Solving for variable 't'.

Combine like terms: 16t2 + -16t2 = 0
290t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(145 + -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 '(145 + -8t)' equal to zero and attempt to solve: Simplifying 145 + -8t = 0 Solving 145 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '-145' to each side of the equation. 145 + -145 + -8t = 0 + -145 Combine like terms: 145 + -145 = 0 0 + -8t = 0 + -145 -8t = 0 + -145 Combine like terms: 0 + -145 = -145 -8t = -145 Divide each side by '-8'. t = 18.125 Simplifying t = 18.125

Solution

t = {0, 18.125}

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