-49t+11t^2-30=

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Solution for -49t+11t^2-30= equation:


Simplifying
-49t + 11t2 + -30 = 0

Reorder the terms:
-30 + -49t + 11t2 = 0

Solving
-30 + -49t + 11t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -11t)(5 + -1t) = 0

Subproblem 1

Set the factor '(-6 + -11t)' equal to zero and attempt to solve: Simplifying -6 + -11t = 0 Solving -6 + -11t = 0 Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11t = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11t = 0 + 6 -11t = 0 + 6 Combine like terms: 0 + 6 = 6 -11t = 6 Divide each side by '-11'. t = -0.5454545455 Simplifying t = -0.5454545455

Subproblem 2

Set the factor '(5 + -1t)' equal to zero and attempt to solve: Simplifying 5 + -1t = 0 Solving 5 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = 0 + -5 -1t = 0 + -5 Combine like terms: 0 + -5 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5

Solution

t = {-0.5454545455, 5}

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