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Simplifying (4 + 7t)(4 + 7t) = 0 Multiply (4 + 7t) * (4 + 7t) (4(4 + 7t) + 7t * (4 + 7t)) = 0 ((4 * 4 + 7t * 4) + 7t * (4 + 7t)) = 0 ((16 + 28t) + 7t * (4 + 7t)) = 0 (16 + 28t + (4 * 7t + 7t * 7t)) = 0 (16 + 28t + (28t + 49t2)) = 0 Combine like terms: 28t + 28t = 56t (16 + 56t + 49t2) = 0 Solving 16 + 56t + 49t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + 7t)(4 + 7t) = 0Subproblem 1
Set the factor '(4 + 7t)' equal to zero and attempt to solve: Simplifying 4 + 7t = 0 Solving 4 + 7t = 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 + 7t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = 0 + -4 7t = 0 + -4 Combine like terms: 0 + -4 = -4 7t = -4 Divide each side by '7'. t = -0.5714285714 Simplifying t = -0.5714285714Subproblem 2
Set the factor '(4 + 7t)' equal to zero and attempt to solve: Simplifying 4 + 7t = 0 Solving 4 + 7t = 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 + 7t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7t = 0 + -4 7t = 0 + -4 Combine like terms: 0 + -4 = -4 7t = -4 Divide each side by '7'. t = -0.5714285714 Simplifying t = -0.5714285714Solution
t = {-0.5714285714, -0.5714285714}
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