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Simplifying t(-16 + -1t) + -63 = 0 (-16 * t + -1t * t) + -63 = 0 (-16t + -1t2) + -63 = 0 Reorder the terms: -63 + -16t + -1t2 = 0 Solving -63 + -16t + -1t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '-1'. -1(63 + 16t + t2) = 0 Factor a trinomial. -1((9 + t)(7 + t)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + t)' equal to zero and attempt to solve: Simplifying 9 + t = 0 Solving 9 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + t = 0 + -9 t = 0 + -9 Combine like terms: 0 + -9 = -9 t = -9 Simplifying t = -9Subproblem 2
Set the factor '(7 + t)' equal to zero and attempt to solve: Simplifying 7 + t = 0 Solving 7 + t = 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 + t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + t = 0 + -7 t = 0 + -7 Combine like terms: 0 + -7 = -7 t = -7 Simplifying t = -7Solution
t = {-9, -7}
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