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Simplifying 49t2 + 4 = -28t Reorder the terms: 4 + 49t2 = -28t Solving 4 + 49t2 = -28t Solving for variable 't'. Reorder the terms: 4 + 28t + 49t2 = -28t + 28t Combine like terms: -28t + 28t = 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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