t(-6)(t+8)=0

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Solution for t(-6)(t+8)=0 equation:


Simplifying
t(-6)(t + 8) = 0

Reorder the terms:
t * -6(8 + t) = 0

Reorder the terms for easier multiplication:
-6t(8 + t) = 0
(8 * -6t + t * -6t) = 0
(-48t + -6t2) = 0

Solving
-48t + -6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-6t'.
-6t(8 + t) = 0

Ignore the factor -6.

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 '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8

Solution

t = {0, -8}

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