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Simplifying (t + -9)(7t + 5) = 0 Reorder the terms: (-9 + t)(7t + 5) = 0 Reorder the terms: (-9 + t)(5 + 7t) = 0 Multiply (-9 + t) * (5 + 7t) (-9(5 + 7t) + t(5 + 7t)) = 0 ((5 * -9 + 7t * -9) + t(5 + 7t)) = 0 ((-45 + -63t) + t(5 + 7t)) = 0 (-45 + -63t + (5 * t + 7t * t)) = 0 (-45 + -63t + (5t + 7t2)) = 0 Combine like terms: -63t + 5t = -58t (-45 + -58t + 7t2) = 0 Solving -45 + -58t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (-5 + -7t)(9 + -1t) = 0Subproblem 1
Set the factor '(-5 + -7t)' equal to zero and attempt to solve: Simplifying -5 + -7t = 0 Solving -5 + -7t = 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 + -7t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7t = 0 + 5 -7t = 0 + 5 Combine like terms: 0 + 5 = 5 -7t = 5 Divide each side by '-7'. t = -0.7142857143 Simplifying t = -0.7142857143Subproblem 2
Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9Solution
t = {-0.7142857143, 9}
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