10t^2+11t-8=

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Solution for 10t^2+11t-8= equation:


Simplifying
10t2 + 11t + -8 = 0

Reorder the terms:
-8 + 11t + 10t2 = 0

Solving
-8 + 11t + 10t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-8 + -5t)(1 + -2t) = 0

Subproblem 1

Set the factor '(-8 + -5t)' equal to zero and attempt to solve: Simplifying -8 + -5t = 0 Solving -8 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5t = 0 + 8 -5t = 0 + 8 Combine like terms: 0 + 8 = 8 -5t = 8 Divide each side by '-5'. t = -1.6 Simplifying t = -1.6

Subproblem 2

Set the factor '(1 + -2t)' equal to zero and attempt to solve: Simplifying 1 + -2t = 0 Solving 1 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 0 + -1 -2t = 0 + -1 Combine like terms: 0 + -1 = -1 -2t = -1 Divide each side by '-2'. t = 0.5 Simplifying t = 0.5

Solution

t = {-1.6, 0.5}

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