3t^2+10t-32=0

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Solution for 3t^2+10t-32=0 equation:


Simplifying
3t2 + 10t + -32 = 0

Reorder the terms:
-32 + 10t + 3t2 = 0

Solving
-32 + 10t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-16 + -3t)(2 + -1t) = 0

Subproblem 1

Set the factor '(-16 + -3t)' equal to zero and attempt to solve: Simplifying -16 + -3t = 0 Solving -16 + -3t = 0 Move all terms containing t to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3t = 0 + 16 -3t = 0 + 16 Combine like terms: 0 + 16 = 16 -3t = 16 Divide each side by '-3'. t = -5.333333333 Simplifying t = -5.333333333

Subproblem 2

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

Solution

t = {-5.333333333, 2}

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