-16t^2+120t=200

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Solution for -16t^2+120t=200 equation:


Simplifying
-16t2 + 120t = 200

Reorder the terms:
120t + -16t2 = 200

Solving
120t + -16t2 = 200

Solving for variable 't'.

Reorder the terms:
-200 + 120t + -16t2 = 200 + -200

Combine like terms: 200 + -200 = 0
-200 + 120t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-25 + 15t + -2t2) = 0

Factor a trinomial.
8((-5 + t)(5 + -2t)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-5 + t)' equal to zero and attempt to solve: Simplifying -5 + t = 0 Solving -5 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + t = 0 + 5 t = 0 + 5 Combine like terms: 0 + 5 = 5 t = 5 Simplifying t = 5

Subproblem 2

Set the factor '(5 + -2t)' equal to zero and attempt to solve: Simplifying 5 + -2t = 0 Solving 5 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5

Solution

t = {5, 2.5}

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