(9t+4t)(5t-15)=0

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Solution for (9t+4t)(5t-15)=0 equation:


Simplifying
(9t + 4t)(5t + -15) = 0

Combine like terms: 9t + 4t = 13t
(13t)(5t + -15) = 0

Remove parenthesis around (13t)
13t(5t + -15) = 0

Reorder the terms:
13t(-15 + 5t) = 0
(-15 * 13t + 5t * 13t) = 0
(-195t + 65t2) = 0

Solving
-195t + 65t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '65t'.
65t(-3 + t) = 0

Ignore the factor 65.

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 '(-3 + t)' equal to zero and attempt to solve: Simplifying -3 + t = 0 Solving -3 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + t = 0 + 3 t = 0 + 3 Combine like terms: 0 + 3 = 3 t = 3 Simplifying t = 3

Solution

t = {0, 3}

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