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Simplifying 23t2 + -54t + 16 = 0 Reorder the terms: 16 + -54t + 23t2 = 0 Solving 16 + -54t + 23t2 = 0 Solving for variable 't'. Factor a trinomial. (8 + -23t)(2 + -1t) = 0Subproblem 1
Set the factor '(8 + -23t)' equal to zero and attempt to solve: Simplifying 8 + -23t = 0 Solving 8 + -23t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -23t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -23t = 0 + -8 -23t = 0 + -8 Combine like terms: 0 + -8 = -8 -23t = -8 Divide each side by '-23'. t = 0.347826087 Simplifying t = 0.347826087Subproblem 2
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 = 2Solution
t = {0.347826087, 2}
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