18t^2-15t-6t+5=0

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Solution for 18t^2-15t-6t+5=0 equation:


Simplifying
18t2 + -15t + -6t + 5 = 0

Reorder the terms:
5 + -15t + -6t + 18t2 = 0

Combine like terms: -15t + -6t = -21t
5 + -21t + 18t2 = 0

Solving
5 + -21t + 18t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -3t)(5 + -6t) = 0

Subproblem 1

Set the factor '(1 + -3t)' equal to zero and attempt to solve: Simplifying 1 + -3t = 0 Solving 1 + -3t = 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 + -3t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 0 + -1 -3t = 0 + -1 Combine like terms: 0 + -1 = -1 -3t = -1 Divide each side by '-3'. t = 0.3333333333 Simplifying t = 0.3333333333

Subproblem 2

Set the factor '(5 + -6t)' equal to zero and attempt to solve: Simplifying 5 + -6t = 0 Solving 5 + -6t = 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 + -6t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6t = 0 + -5 -6t = 0 + -5 Combine like terms: 0 + -5 = -5 -6t = -5 Divide each side by '-6'. t = 0.8333333333 Simplifying t = 0.8333333333

Solution

t = {0.3333333333, 0.8333333333}

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