0=t(100-16t)

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Solution for 0=t(100-16t) equation:


Simplifying
0 = t(100 + -16t)
0 = (100 * t + -16t * t)
0 = (100t + -16t2)

Solving
0 = 100t + -16t2

Solving for variable 't'.
Remove the zero:
-100t + 16t2 = 100t + -16t2 + -100t + 16t2

Reorder the terms:
-100t + 16t2 = 100t + -100t + -16t2 + 16t2

Combine like terms: 100t + -100t = 0
-100t + 16t2 = 0 + -16t2 + 16t2
-100t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-100t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4t'.
4t(-25 + 4t) = 0

Ignore the factor 4.

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 '(-25 + 4t)' equal to zero and attempt to solve: Simplifying -25 + 4t = 0 Solving -25 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4t = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4t = 0 + 25 4t = 0 + 25 Combine like terms: 0 + 25 = 25 4t = 25 Divide each side by '4'. t = 6.25 Simplifying t = 6.25

Solution

t = {0, 6.25}

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