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Simplifying (9t + -7)(8t + 3) = 0 Reorder the terms: (-7 + 9t)(8t + 3) = 0 Reorder the terms: (-7 + 9t)(3 + 8t) = 0 Multiply (-7 + 9t) * (3 + 8t) (-7(3 + 8t) + 9t * (3 + 8t)) = 0 ((3 * -7 + 8t * -7) + 9t * (3 + 8t)) = 0 ((-21 + -56t) + 9t * (3 + 8t)) = 0 (-21 + -56t + (3 * 9t + 8t * 9t)) = 0 (-21 + -56t + (27t + 72t2)) = 0 Combine like terms: -56t + 27t = -29t (-21 + -29t + 72t2) = 0 Solving -21 + -29t + 72t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -8t)(7 + -9t) = 0Subproblem 1
Set the factor '(-3 + -8t)' equal to zero and attempt to solve: Simplifying -3 + -8t = 0 Solving -3 + -8t = 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 + -8t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8t = 0 + 3 -8t = 0 + 3 Combine like terms: 0 + 3 = 3 -8t = 3 Divide each side by '-8'. t = -0.375 Simplifying t = -0.375Subproblem 2
Set the factor '(7 + -9t)' equal to zero and attempt to solve: Simplifying 7 + -9t = 0 Solving 7 + -9t = 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 + -9t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9t = 0 + -7 -9t = 0 + -7 Combine like terms: 0 + -7 = -7 -9t = -7 Divide each side by '-9'. t = 0.7777777778 Simplifying t = 0.7777777778Solution
t = {-0.375, 0.7777777778}
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