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Simplifying 0 = 4 + -28t + 49t2 Solving 0 = 4 + -28t + 49t2 Solving for variable 't'. Combine like terms: 0 + -4 = -4 -4 + 28t + -49t2 = 4 + -28t + 49t2 + -4 + 28t + -49t2 Reorder the terms: -4 + 28t + -49t2 = 4 + -4 + -28t + 28t + 49t2 + -49t2 Combine like terms: 4 + -4 = 0 -4 + 28t + -49t2 = 0 + -28t + 28t + 49t2 + -49t2 -4 + 28t + -49t2 = -28t + 28t + 49t2 + -49t2 Combine like terms: -28t + 28t = 0 -4 + 28t + -49t2 = 0 + 49t2 + -49t2 -4 + 28t + -49t2 = 49t2 + -49t2 Combine like terms: 49t2 + -49t2 = 0 -4 + 28t + -49t2 = 0 Factor a trinomial. (-2 + 7t)(2 + -7t) = 0Subproblem 1
Set the factor '(-2 + 7t)' equal to zero and attempt to solve: Simplifying -2 + 7t = 0 Solving -2 + 7t = 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 + 7t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7t = 0 + 2 7t = 0 + 2 Combine like terms: 0 + 2 = 2 7t = 2 Divide each side by '7'. t = 0.2857142857 Simplifying t = 0.2857142857Subproblem 2
Set the factor '(2 + -7t)' equal to zero and attempt to solve: Simplifying 2 + -7t = 0 Solving 2 + -7t = 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 + -7t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = 0 + -2 -7t = 0 + -2 Combine like terms: 0 + -2 = -2 -7t = -2 Divide each side by '-7'. t = 0.2857142857 Simplifying t = 0.2857142857Solution
t = {0.2857142857, 0.2857142857}
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