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Simplifying -2(8t2 + -7t + -18) = 0 Reorder the terms: -2(-18 + -7t + 8t2) = 0 (-18 * -2 + -7t * -2 + 8t2 * -2) = 0 (36 + 14t + -16t2) = 0 Solving 36 + 14t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 7t + -8t2) = 0 Factor a trinomial. 2((2 + -1t)(9 + 8t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 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 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Subproblem 2
Set the factor '(9 + 8t)' equal to zero and attempt to solve: Simplifying 9 + 8t = 0 Solving 9 + 8t = 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 + 8t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = 0 + -9 8t = 0 + -9 Combine like terms: 0 + -9 = -9 8t = -9 Divide each side by '8'. t = -1.125 Simplifying t = -1.125Solution
t = {2, -1.125}
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