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Simplifying -25t + 7t2 + -12 = 0 Reorder the terms: -12 + -25t + 7t2 = 0 Solving -12 + -25t + 7t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -7t)(4 + -1t) = 0Subproblem 1
Set the factor '(-3 + -7t)' equal to zero and attempt to solve: Simplifying -3 + -7t = 0 Solving -3 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7t = 0 + 3 -7t = 0 + 3 Combine like terms: 0 + 3 = 3 -7t = 3 Divide each side by '-7'. t = -0.4285714286 Simplifying t = -0.4285714286Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {-0.4285714286, 4}
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