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Simplifying (11t + 7)(4t + -3) = 0 Reorder the terms: (7 + 11t)(4t + -3) = 0 Reorder the terms: (7 + 11t)(-3 + 4t) = 0 Multiply (7 + 11t) * (-3 + 4t) (7(-3 + 4t) + 11t * (-3 + 4t)) = 0 ((-3 * 7 + 4t * 7) + 11t * (-3 + 4t)) = 0 ((-21 + 28t) + 11t * (-3 + 4t)) = 0 (-21 + 28t + (-3 * 11t + 4t * 11t)) = 0 (-21 + 28t + (-33t + 44t2)) = 0 Combine like terms: 28t + -33t = -5t (-21 + -5t + 44t2) = 0 Solving -21 + -5t + 44t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -11t)(3 + -4t) = 0Subproblem 1
Set the factor '(-7 + -11t)' equal to zero and attempt to solve: Simplifying -7 + -11t = 0 Solving -7 + -11t = 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 + -11t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -11t = 0 + 7 -11t = 0 + 7 Combine like terms: 0 + 7 = 7 -11t = 7 Divide each side by '-11'. t = -0.6363636364 Simplifying t = -0.6363636364Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve: Simplifying 3 + -4t = 0 Solving 3 + -4t = 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 + -4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = 0 + -3 -4t = 0 + -3 Combine like terms: 0 + -3 = -3 -4t = -3 Divide each side by '-4'. t = 0.75 Simplifying t = 0.75Solution
t = {-0.6363636364, 0.75}
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