0=-16t(t-9)

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Solution for 0=-16t(t-9) equation:


Simplifying
0 = -16t(t + -9)

Reorder the terms:
0 = -16t(-9 + t)
0 = (-9 * -16t + t * -16t)
0 = (144t + -16t2)

Solving
0 = 144t + -16t2

Solving for variable 't'.
Remove the zero:
-144t + 16t2 = 144t + -16t2 + -144t + 16t2

Reorder the terms:
-144t + 16t2 = 144t + -144t + -16t2 + 16t2

Combine like terms: 144t + -144t = 0
-144t + 16t2 = 0 + -16t2 + 16t2
-144t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-144t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-9 + t) = 0

Ignore the factor 16.

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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