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Simplifying 2(t + -7)(t + -7) = 0 Reorder the terms: 2(-7 + t)(t + -7) = 0 Reorder the terms: 2(-7 + t)(-7 + t) = 0 Multiply (-7 + t) * (-7 + t) 2(-7(-7 + t) + t(-7 + t)) = 0 2((-7 * -7 + t * -7) + t(-7 + t)) = 0 2((49 + -7t) + t(-7 + t)) = 0 2(49 + -7t + (-7 * t + t * t)) = 0 2(49 + -7t + (-7t + t2)) = 0 Combine like terms: -7t + -7t = -14t 2(49 + -14t + t2) = 0 (49 * 2 + -14t * 2 + t2 * 2) = 0 (98 + -28t + 2t2) = 0 Solving 98 + -28t + 2t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -14t + t2) = 0 Factor a trinomial. 2((7 + -1t)(7 + -1t)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7Solution
t = {7, 7}
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