5t^2+34t+48=0

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Solution for 5t^2+34t+48=0 equation:


Simplifying
5t2 + 34t + 48 = 0

Reorder the terms:
48 + 34t + 5t2 = 0

Solving
48 + 34t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(24 + 5t)(2 + t) = 0

Subproblem 1

Set the factor '(24 + 5t)' equal to zero and attempt to solve: Simplifying 24 + 5t = 0 Solving 24 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5t = 0 + -24 5t = 0 + -24 Combine like terms: 0 + -24 = -24 5t = -24 Divide each side by '5'. t = -4.8 Simplifying t = -4.8

Subproblem 2

Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 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 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2

Solution

t = {-4.8, -2}

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