5t^2+38t+21=0

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Solution for 5t^2+38t+21=0 equation:


Simplifying
5t2 + 38t + 21 = 0

Reorder the terms:
21 + 38t + 5t2 = 0

Solving
21 + 38t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + t)(3 + 5t) = 0

Subproblem 1

Set the factor '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 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 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Simplifying t = -7

Subproblem 2

Set the factor '(3 + 5t)' equal to zero and attempt to solve: Simplifying 3 + 5t = 0 Solving 3 + 5t = 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 + 5t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 0 + -3 5t = 0 + -3 Combine like terms: 0 + -3 = -3 5t = -3 Divide each side by '5'. t = -0.6 Simplifying t = -0.6

Solution

t = {-7, -0.6}

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