4t^2=72t

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Solution for 4t^2=72t equation:


Simplifying
4t2 = 72t

Solving
4t2 = 72t

Solving for variable 't'.

Reorder the terms:
-72t + 4t2 = 72t + -72t

Combine like terms: 72t + -72t = 0
-72t + 4t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-18 + t) = 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 '(-18 + t)' equal to zero and attempt to solve: Simplifying -18 + t = 0 Solving -18 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + t = 0 + 18 Combine like terms: -18 + 18 = 0 0 + t = 0 + 18 t = 0 + 18 Combine like terms: 0 + 18 = 18 t = 18 Simplifying t = 18

Solution

t = {0, 18}

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