6t^2=59t

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Solution for 6t^2=59t equation:


Simplifying
6t2 = 59t

Solving
6t2 = 59t

Solving for variable 't'.

Reorder the terms:
-59t + 6t2 = 59t + -59t

Combine like terms: 59t + -59t = 0
-59t + 6t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-59 + 6t) = 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 '(-59 + 6t)' equal to zero and attempt to solve: Simplifying -59 + 6t = 0 Solving -59 + 6t = 0 Move all terms containing t to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 6t = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 6t = 0 + 59 6t = 0 + 59 Combine like terms: 0 + 59 = 59 6t = 59 Divide each side by '6'. t = 9.833333333 Simplifying t = 9.833333333

Solution

t = {0, 9.833333333}

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