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Simplifying (t + -4)(t + 3) = 0 Reorder the terms: (-4 + t)(t + 3) = 0 Reorder the terms: (-4 + t)(3 + t) = 0 Multiply (-4 + t) * (3 + t) (-4(3 + t) + t(3 + t)) = 0 ((3 * -4 + t * -4) + t(3 + t)) = 0 ((-12 + -4t) + t(3 + t)) = 0 (-12 + -4t + (3 * t + t * t)) = 0 (-12 + -4t + (3t + t2)) = 0 Combine like terms: -4t + 3t = -1t (-12 + -1t + t2) = 0 Solving -12 + -1t + t2 = 0 Solving for variable 't'. Factor a trinomial. (-3 + -1t)(4 + -1t) = 0Subproblem 1
Set the factor '(-3 + -1t)' equal to zero and attempt to solve: Simplifying -3 + -1t = 0 Solving -3 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = 0 + 3 -1t = 0 + 3 Combine like terms: 0 + 3 = 3 -1t = 3 Divide each side by '-1'. t = -3 Simplifying t = -3Subproblem 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 = {-3, 4}
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