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Simplifying 14t2 + 23t + -15 = 0 Reorder the terms: -15 + 23t + 14t2 = 0 Solving -15 + 23t + 14t2 = 0 Solving for variable 't'. Factor a trinomial. (-15 + -7t)(1 + -2t) = 0Subproblem 1
Set the factor '(-15 + -7t)' equal to zero and attempt to solve: Simplifying -15 + -7t = 0 Solving -15 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7t = 0 + 15 -7t = 0 + 15 Combine like terms: 0 + 15 = 15 -7t = 15 Divide each side by '-7'. t = -2.142857143 Simplifying t = -2.142857143Subproblem 2
Set the factor '(1 + -2t)' equal to zero and attempt to solve: Simplifying 1 + -2t = 0 Solving 1 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 0 + -1 -2t = 0 + -1 Combine like terms: 0 + -1 = -1 -2t = -1 Divide each side by '-2'. t = 0.5 Simplifying t = 0.5Solution
t = {-2.142857143, 0.5}
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