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Simplifying (4t + -5)(4t + -5) = 0 Reorder the terms: (-5 + 4t)(4t + -5) = 0 Reorder the terms: (-5 + 4t)(-5 + 4t) = 0 Multiply (-5 + 4t) * (-5 + 4t) (-5(-5 + 4t) + 4t * (-5 + 4t)) = 0 ((-5 * -5 + 4t * -5) + 4t * (-5 + 4t)) = 0 ((25 + -20t) + 4t * (-5 + 4t)) = 0 (25 + -20t + (-5 * 4t + 4t * 4t)) = 0 (25 + -20t + (-20t + 16t2)) = 0 Combine like terms: -20t + -20t = -40t (25 + -40t + 16t2) = 0 Solving 25 + -40t + 16t2 = 0 Solving for variable 't'. Factor a trinomial. (5 + -4t)(5 + -4t) = 0Subproblem 1
Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve: Simplifying 5 + -4t = 0 Solving 5 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = 0 + -5 -4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4t = -5 Divide each side by '-4'. t = 1.25 Simplifying t = 1.25Solution
t = {1.25, 1.25}
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