(-16t^2+136t+72)=0

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Solution for (-16t^2+136t+72)=0 equation:


Simplifying
(-16t2 + 136t + 72) = 0

Reorder the terms:
(72 + 136t + -16t2) = 0

Remove parenthesis around (72 + 136t + -16t2)
72 + 136t + -16t2 = 0

Solving
72 + 136t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + 17t + -2t2) = 0

Factor a trinomial.
8((9 + -1t)(1 + 2t)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 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 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9

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 = {9, -0.5}

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