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Simplifying t(t + 4) + 4(t + 4) = 0 Reorder the terms: t(4 + t) + 4(t + 4) = 0 (4 * t + t * t) + 4(t + 4) = 0 (4t + t2) + 4(t + 4) = 0 Reorder the terms: 4t + t2 + 4(4 + t) = 0 4t + t2 + (4 * 4 + t * 4) = 0 4t + t2 + (16 + 4t) = 0 Reorder the terms: 16 + 4t + 4t + t2 = 0 Combine like terms: 4t + 4t = 8t 16 + 8t + t2 = 0 Solving 16 + 8t + t2 = 0 Solving for variable 't'. Factor a trinomial. (4 + t)(4 + t) = 0Subproblem 1
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Subproblem 2
Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 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 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4Solution
t = {-4, -4}
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