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Simplifying (t + 5)(t + 5) = 25 Reorder the terms: (5 + t)(t + 5) = 25 Reorder the terms: (5 + t)(5 + t) = 25 Multiply (5 + t) * (5 + t) (5(5 + t) + t(5 + t)) = 25 ((5 * 5 + t * 5) + t(5 + t)) = 25 ((25 + 5t) + t(5 + t)) = 25 (25 + 5t + (5 * t + t * t)) = 25 (25 + 5t + (5t + t2)) = 25 Combine like terms: 5t + 5t = 10t (25 + 10t + t2) = 25 Add '-25' to each side of the equation. 25 + 10t + -25 + t2 = 25 + -25 Reorder the terms: 25 + -25 + 10t + t2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + 10t + t2 = 25 + -25 10t + t2 = 25 + -25 Combine like terms: 25 + -25 = 0 10t + t2 = 0 Solving 10t + t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(10 + t) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(10 + t)' equal to zero and attempt to solve: Simplifying 10 + t = 0 Solving 10 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + t = 0 + -10 t = 0 + -10 Combine like terms: 0 + -10 = -10 t = -10 Simplifying t = -10Solution
t = {0, -10}
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