3t^2-1t-14=0

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Solution for 3t^2-1t-14=0 equation:


Simplifying
3t2 + -1t + -14 = 0

Reorder the terms:
-14 + -1t + 3t2 = 0

Solving
-14 + -1t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2 + -1t)(7 + -3t) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -3t)' equal to zero and attempt to solve: Simplifying 7 + -3t = 0 Solving 7 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3t = 0 + -7 -3t = 0 + -7 Combine like terms: 0 + -7 = -7 -3t = -7 Divide each side by '-3'. t = 2.333333333 Simplifying t = 2.333333333

Solution

t = {-2, 2.333333333}

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