0=16(t)(7-t)

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Solution for 0=16(t)(7-t) equation: 


Simplifying
0 = 16(t)(7 + -1t)
0 = (7 * 16t + -1t * 16t)
0 = (112t + -16t2)

Solving
0 = 112t + -16t2

Solving for variable 't'.
Remove the zero:
-112t + 16t2 = 112t + -16t2 + -112t + 16t2

Reorder the terms:
-112t + 16t2 = 112t + -112t + -16t2 + 16t2

Combine like terms: 112t + -112t = 0
-112t + 16t2 = 0 + -16t2 + 16t2
-112t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-112t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(-7 + 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 '(-7 + t)' equal to zero and attempt to solve:

Simplifying
-7 + t = 0

Solving
-7 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + t = 0 + 7
t = 0 + 7

Combine like terms: 0 + 7 = 7
t = 7

Simplifying
t = 7
Solution
t = {0, 7}

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