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Simplifying 12t2 + 25t + -7 = 0 Reorder the terms: -7 + 25t + 12t2 = 0 Solving -7 + 25t + 12t2 = 0 Solving for variable 't'. Factor a trinomial. (-7 + -3t)(1 + -4t) = 0Subproblem 1
Set the factor '(-7 + -3t)' equal to zero and attempt to solve: Simplifying -7 + -3t = 0 Solving -7 + -3t = 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 + -3t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3t = 0 + 7 -3t = 0 + 7 Combine like terms: 0 + 7 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333Subproblem 2
Set the factor '(1 + -4t)' equal to zero and attempt to solve: Simplifying 1 + -4t = 0 Solving 1 + -4t = 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 + -4t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4t = 0 + -1 -4t = 0 + -1 Combine like terms: 0 + -1 = -1 -4t = -1 Divide each side by '-4'. t = 0.25 Simplifying t = 0.25Solution
t = {-2.333333333, 0.25}
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