-16t^2+8t+15=0

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Solution for -16t^2+8t+15=0 equation:


Simplifying
-16t2 + 8t + 15 = 0

Reorder the terms:
15 + 8t + -16t2 = 0

Solving
15 + 8t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + -4t)(3 + 4t) = 0

Subproblem 1

Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 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 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25

Subproblem 2

Set the factor '(3 + 4t)' equal to zero and attempt to solve: Simplifying 3 + 4t = 0 Solving 3 + 4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4t = 0 + -3 4t = 0 + -3 Combine like terms: 0 + -3 = -3 4t = -3 Divide each side by '4'. t = -0.75 Simplifying t = -0.75

Solution

t = {1.25, -0.75}

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