-16t^2-8t+120=120

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Solution for -16t^2-8t+120=120 equation:


Simplifying
-16t2 + -8t + 120 = 120

Reorder the terms:
120 + -8t + -16t2 = 120

Add '-120' to each side of the equation.
120 + -8t + -120 + -16t2 = 120 + -120

Reorder the terms:
120 + -120 + -8t + -16t2 = 120 + -120

Combine like terms: 120 + -120 = 0
0 + -8t + -16t2 = 120 + -120
-8t + -16t2 = 120 + -120

Combine like terms: 120 + -120 = 0
-8t + -16t2 = 0

Solving
-8t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-8t'.
-8t(1 + 2t) = 0

Ignore the factor -8.

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 '(1 + 2t)' equal to zero and attempt to solve: Simplifying 1 + 2t = 0 Solving 1 + 2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = 0 + -1 2t = 0 + -1 Combine like terms: 0 + -1 = -1 2t = -1 Divide each side by '2'. t = -0.5 Simplifying t = -0.5

Solution

t = {0, -0.5}

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