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Simplifying (11t + 7)(4t + -7) = 0 Reorder the terms: (7 + 11t)(4t + -7) = 0 Reorder the terms: (7 + 11t)(-7 + 4t) = 0 Multiply (7 + 11t) * (-7 + 4t) (7(-7 + 4t) + 11t * (-7 + 4t)) = 0 ((-7 * 7 + 4t * 7) + 11t * (-7 + 4t)) = 0 ((-49 + 28t) + 11t * (-7 + 4t)) = 0 (-49 + 28t + (-7 * 11t + 4t * 11t)) = 0 (-49 + 28t + (-77t + 44t2)) = 0 Combine like terms: 28t + -77t = -49t (-49 + -49t + 44t2) = 0 Solving -49 + -49t + 44t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -11t)(7 + -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 '(7 + -4t)' equal to zero and attempt to solve: Simplifying 7 + -4t = 0 Solving 7 + -4t = 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 + -4t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4t = 0 + -7 -4t = 0 + -7 Combine like terms: 0 + -7 = -7 -4t = -7 Divide each side by '-4'. t = 1.75 Simplifying t = 1.75Solution
t = {-0.6363636364, 1.75}
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