34500t^2=100t

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Solution for 34500t^2=100t equation:


Simplifying
34500t2 = 100t

Solving
34500t2 = 100t

Solving for variable 't'.

Reorder the terms:
-100t + 34500t2 = 100t + -100t

Combine like terms: 100t + -100t = 0
-100t + 34500t2 = 0

Factor out the Greatest Common Factor (GCF), '100t'.
100t(-1 + 345t) = 0

Ignore the factor 100.

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 '(-1 + 345t)' equal to zero and attempt to solve: Simplifying -1 + 345t = 0 Solving -1 + 345t = 0 Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 345t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 345t = 0 + 1 345t = 0 + 1 Combine like terms: 0 + 1 = 1 345t = 1 Divide each side by '345'. t = 0.002898550725 Simplifying t = 0.002898550725

Solution

t = {0, 0.002898550725}

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