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Simplifying (-9t + -2)(-5t + -2) = 0 Reorder the terms: (-2 + -9t)(-5t + -2) = 0 Reorder the terms: (-2 + -9t)(-2 + -5t) = 0 Multiply (-2 + -9t) * (-2 + -5t) (-2(-2 + -5t) + -9t * (-2 + -5t)) = 0 ((-2 * -2 + -5t * -2) + -9t * (-2 + -5t)) = 0 ((4 + 10t) + -9t * (-2 + -5t)) = 0 (4 + 10t + (-2 * -9t + -5t * -9t)) = 0 (4 + 10t + (18t + 45t2)) = 0 Combine like terms: 10t + 18t = 28t (4 + 28t + 45t2) = 0 Solving 4 + 28t + 45t2 = 0 Solving for variable 't'. Factor a trinomial. (2 + 5t)(2 + 9t) = 0Subproblem 1
Set the factor '(2 + 5t)' equal to zero and attempt to solve: Simplifying 2 + 5t = 0 Solving 2 + 5t = 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 + 5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5t = 0 + -2 5t = 0 + -2 Combine like terms: 0 + -2 = -2 5t = -2 Divide each side by '5'. t = -0.4 Simplifying t = -0.4Subproblem 2
Set the factor '(2 + 9t)' equal to zero and attempt to solve: Simplifying 2 + 9t = 0 Solving 2 + 9t = 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 + 9t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9t = 0 + -2 9t = 0 + -2 Combine like terms: 0 + -2 = -2 9t = -2 Divide each side by '9'. t = -0.2222222222 Simplifying t = -0.2222222222Solution
t = {-0.4, -0.2222222222}
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