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Simplifying 32 = t(t + -4) Reorder the terms: 32 = t(-4 + t) 32 = (-4 * t + t * t) 32 = (-4t + t2) Solving 32 = -4t + t2 Solving for variable 't'. Reorder the terms: 32 + 4t + -1t2 = -4t + 4t + t2 + -1t2 Combine like terms: -4t + 4t = 0 32 + 4t + -1t2 = 0 + t2 + -1t2 32 + 4t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 32 + 4t + -1t2 = 0 Factor a trinomial. (8 + -1t)(4 + t) = 0Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve: Simplifying 8 + -1t = 0 Solving 8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = 0 + -8 -1t = 0 + -8 Combine like terms: 0 + -8 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8Subproblem 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 = {8, -4}
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