5t^2-12t-17=0

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Solution for 5t^2-12t-17=0 equation:


Simplifying
5t2 + -12t + -17 = 0

Reorder the terms:
-17 + -12t + 5t2 = 0

Solving
-17 + -12t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -1t)(17 + -5t) = 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 '(17 + -5t)' equal to zero and attempt to solve: Simplifying 17 + -5t = 0 Solving 17 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5t = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5t = 0 + -17 -5t = 0 + -17 Combine like terms: 0 + -17 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4

Solution

t = {-1, 3.4}

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