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Simplifying (5t + -14)(t + -4) = 0 Reorder the terms: (-14 + 5t)(t + -4) = 0 Reorder the terms: (-14 + 5t)(-4 + t) = 0 Multiply (-14 + 5t) * (-4 + t) (-14(-4 + t) + 5t * (-4 + t)) = 0 ((-4 * -14 + t * -14) + 5t * (-4 + t)) = 0 ((56 + -14t) + 5t * (-4 + t)) = 0 (56 + -14t + (-4 * 5t + t * 5t)) = 0 (56 + -14t + (-20t + 5t2)) = 0 Combine like terms: -14t + -20t = -34t (56 + -34t + 5t2) = 0 Solving 56 + -34t + 5t2 = 0 Solving for variable 't'. Factor a trinomial. (14 + -5t)(4 + -1t) = 0Subproblem 1
Set the factor '(14 + -5t)' equal to zero and attempt to solve: Simplifying 14 + -5t = 0 Solving 14 + -5t = 0 Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5t = 0 + -14 -5t = 0 + -14 Combine like terms: 0 + -14 = -14 -5t = -14 Divide each side by '-5'. t = 2.8 Simplifying t = 2.8Subproblem 2
Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 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 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4Solution
t = {2.8, 4}
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