3t^2+5t-12=0

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Solution for 3t^2+5t-12=0 equation:


Simplifying
3t2 + 5t + -12 = 0

Reorder the terms:
-12 + 5t + 3t2 = 0

Solving
-12 + 5t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-3 + -1t)(4 + -3t) = 0

Subproblem 1

Set the factor '(-3 + -1t)' equal to zero and attempt to solve: Simplifying -3 + -1t = 0 Solving -3 + -1t = 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 + -1t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = 0 + 3 -1t = 0 + 3 Combine like terms: 0 + 3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3

Subproblem 2

Set the factor '(4 + -3t)' equal to zero and attempt to solve: Simplifying 4 + -3t = 0 Solving 4 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333

Solution

t = {-3, 1.333333333}

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