8t^2=-72t

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Solution for 8t^2=-72t equation:


Simplifying
8t2 = -72t

Solving
8t2 = -72t

Solving for variable 't'.

Reorder the terms:
72t + 8t2 = -72t + 72t

Combine like terms: -72t + 72t = 0
72t + 8t2 = 0

Factor out the Greatest Common Factor (GCF), '8t'.
8t(9 + t) = 0

Ignore the factor 8.

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 '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9

Solution

t = {0, -9}

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