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Simplifying -1t2 = 4 + -4t Solving -1t2 = 4 + -4t Solving for variable 't'. Reorder the terms: -4 + 4t + -1t2 = 4 + -4t + -4 + 4t Reorder the terms: -4 + 4t + -1t2 = 4 + -4 + -4t + 4t Combine like terms: 4 + -4 = 0 -4 + 4t + -1t2 = 0 + -4t + 4t -4 + 4t + -1t2 = -4t + 4t Combine like terms: -4t + 4t = 0 -4 + 4t + -1t2 = 0 Factor a trinomial. (-2 + t)(2 + -1t) = 0Subproblem 1
Set the factor '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Simplifying t = 2Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve: Simplifying 2 + -1t = 0 Solving 2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1t = 0 + -2 -1t = 0 + -2 Combine like terms: 0 + -2 = -2 -1t = -2 Divide each side by '-1'. t = 2 Simplifying t = 2Solution
t = {2, 2}
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