-16t^2+15t+1=0

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Solution for -16t^2+15t+1=0 equation:


Simplifying
-16t2 + 15t + 1 = 0

Reorder the terms:
1 + 15t + -16t2 = 0

Solving
1 + 15t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(1 + 16t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 16t)' equal to zero and attempt to solve: Simplifying 1 + 16t = 0 Solving 1 + 16t = 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 + 16t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16t = 0 + -1 16t = 0 + -1 Combine like terms: 0 + -1 = -1 16t = -1 Divide each side by '16'. t = -0.0625 Simplifying t = -0.0625

Solution

t = {1, -0.0625}

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